Index Arithmetic Parit y Corollary , 1 3 Arithmetic Parit y Theorem , 1 3 Arithmetic Propertie s o f Congruences , 24 Arithmetic Propertie s o f Congruence s Corollary, 2 4 ATBASH Cipher , 7 0 Brute Force , 3 2 Caesar Ciphe r cryptanaylsis, 3 1 deciphering, 2 7 definition usin g alphabets , 3 definition usin g congruences , 2 7 Carmichael numbers , 14 7 Ciphertext, 2 Combination o f a and n , 7 7 Common divisor , 1 2 Composite, 1 2 Composite Test , 14 6 Computer Programs , 14 9 Congruence, 2 0 Congruent, 1 9 Cryptanalysis, 2 Cryptographic playe r Alice, 9 4 Bob, 9 4 Carol, 9 4 Dave, 9 4 Eve, 12 7 Mallory, 9 4 Trent, 12 8 Cryptographic syste m ATBASH Cipher , 7 0 Caesar Cipher , 3 , 2 7 Exponential Cipher , 10 3 General Multiplication-Shif t Cipher , 76 Multiplication Cipher , 3 7 Multiplication-Shift Cipher , 5 1 Non-Mathematical Substitutio n Ciphers, 6 9 Onetime Pad , 7 3 Replacement Cipher , 3 RSA Cipher , 13 1 Substitution Cipher , 3 Vigenere Cipher , 7 1 Cryptography, 2 Cryptology, 2 Decipher, 2 Different parity , 1 3 Divides, 1 1 Division dividend, 9 divisor, 9 quotient, 9 remainder, 9 Division Algorithm , 9 Divisor, 1 1 Encipher, 2 Equivalence Propertie s o f Congruences , 20 Euclidean Algorithm , 8 1 Euclidean Table , 8 3 Euclidean Tabl e Theorem , 8 4 Euler ph i function , 9 7 Euler ph i o f n Theorem , 9 8 Euler's Theorem , 12 3 Even integer , 1 2 Even letter , 4 2 Exponential Ciphe r cryptanalysis, 11 9 deciphering, 11 1 definition, 10 3 mathematical basis , 12 3 Exponential Ciphe r Theorem , 11 2 157 http://dx.doi.org/10.1090/mawrld/025/27
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