Introduction to Cryptography: With Coding Theory
This book assumes a minimal background in programming and a level of math sophistication equivalent to a course in linear algebra. It provides a flexible organization, as each chapter is modular and can be covered in any order. Using Mathematica, Maple, and MATLAB, computer examples included in an Appendix explain how to do computation and demonstrate important concepts. A full chapter on error correcting codes introduces the basic elements of coding theory. Other topics covered: Classical cryptosystems, basic number theory, the data encryption standard, AES: Rijndael, the RSA algorithm, discrete logarithms, digital signatures, e-commerce and digital cash, secret sharing schemes, games, zero knowledge techniques, key establishment protocols, information theory, elliptic curves, error correcting codes, quantum cryptography. For professionals in cryptography and network security.
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Basic Number Theory
The Data Encryption Standard
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affine cipher algorithm Alice and Bob Alice chooses Alice's attack binary birthday attack bits block bytes calculate cards Chinese remainder theorem chooses a random cipher ciphertext codeword coefficients coin column congruence corresponding cryptography cryptosystem decoding determine digits discrete log discrete logarithm divide dot product elements ElGamal elliptic curve encryption entries entropy equation finite field frequency gives guess hash function Hill cipher infinity mod input integer integers mod inverse large prime length letters LFSR linear linear code MATLAB mod q multell multiple nonzero Note obtain one-time pad output pairs password Peggy permutation photon plaintext polynomial possible prime factors primitive root probability problem procedure protocol public key random number recurrence Rijndael root mod rows of G rsan S-box secret Section sequence shift Show Solution solve Spender square root Suppose theorem vector yields