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Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

A historical text may now be unreadable, because its language is unknown, or its script forgotten (or both), or because it was deliberately enciphered. Deciphering needs two steps: Identify the language, then map the unknown script to a familiar one. I’ll present an algorithm to solve a cartoon version of this problem, where the language is known, and the cipher is alphabet rearrangement.

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Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

  1. 1. Solving very simple substitution ciphers algorithmically Stephen Enright-Ward lateral.io stephen@lateral.io
  2. 2. 2. There still exist encrypted, unreadable historical texts. 1. Fun, unusual application of machine learning This is cool
  3. 3. The Voynich manuscript
  4. 4. The Voynich manuscript Unsolved!
  5. 5. 2. No original research 1. This is a toy problem Disclaimer
  6. 6. Outline 1. Introduction 2. Framing the problem 3. Naive solution 4. Maths + stats tools 5. Algorithm
  7. 7. 1. Introduction Encryption & decryption
  8. 8. 1. Introduction Cipher textPlain text encryption decryption Encryption & decryption
  9. 9. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption
  10. 10. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm:
  11. 11. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
  12. 12. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” 1. Choose algorithm 2. Choose key 1. Deduce algorithm 2. Deduce key Encryption: Decryption: Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
  13. 13. A “Mono-Alphabetic Substitution Cipher” (MASC) means: Replace each plain text letter with a single, fixed cipher text letter. Important “the cat sat on the mat” “uif dbu tbu po uif nbu” From now on: I only talk about MASCs.
  14. 14. 2. Framing the problem
  15. 15. 2. Framing the problem Assumptions
  16. 16. 2. Framing the problem 1. We know cipher text is MASC-encrypted Assumptions
  17. 17. 2. Framing the problem 2. We have “enough” cipher text 1. We know cipher text is MASC-encrypted Assumptions
  18. 18. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted Assumptions
  19. 19. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions
  20. 20. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions Consequences
  21. 21. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible Assumptions Consequences
  22. 22. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences Assumptions Consequences
  23. 23. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences 4. means we can use ML on “training text”. Assumptions Consequences
  24. 24. Permutation: A rearrangement of distinct objects (for us, letters) Permutations
  25. 25. Permutations Permutation: A rearrangement of distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself
  26. 26. Permutations Permutation: A rearrangement of distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself Different notation
  27. 27. a b dc a b dc Permutations Permutation: A rearrangement of distinct objects (for us, letters) arrow diagramarrow diagram Different notation Formally: one-to-one map from a finite set to itself
  28. 28. {a: b, b: c, c: a, d: d} a b dc a b dc arrow diagram Permutations Formally: one-to-one map from a finite set to itself arrow diagram Different notation Permutation: A rearrangement of distinct objects (for us, letters) dictionary
  29. 29. Formally: one-to-one map from a finite set to itself {a: b, b: c, c: a, d: d} dictionary a b dc a b dc arrow diagram Different notation cycles (abc)(d) = (abc) Permutations Permutation: A rearrangement of distinct objects (for us, letters)
  30. 30. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
  31. 31. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
  32. 32. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one:
  33. 33. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th
  34. 34. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo”
  35. 35. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet
  36. 36. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet Hence: Decryption key is a permutation
  37. 37. Given space-preserved, MASC-encrypted cipher text of known source language with alphabet , and training sample of text from , find the permutation of that is the decryption key. T<latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit 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sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit> <latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit>
  38. 38. 3. Naive algorithm
  39. 39. 3. Naive algorithm A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. Algorithm
  40. 40. 3. Naive algorithm A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> Algorithm

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