Making Breaking Codes: Introduction to Cryptology

About this book

This unique book explains the basic issues of classical and modern cryptography and provides a self contained essential mathematical background in number theory abstract algebra and probabilitywith surveys of relevant parts of complexity theory and other things. A user-friendly down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions transpositions permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings fields polynomials; cyclotomic polynomials primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security system administration and information systems.