E-raamat: Introduction to Cryptography

According to the followers of Pythagorus, "numbers rule the universe," and the undergraduate readers for whom this text is written will agree. Updating his text with recent discoveries (such as an unconditional deterministic polynomial-time algorithm for primality testing), popular references and eight appendices on computer arithmetic, Mollin (mathematics, U. of Calgary) covers the mathematical basics (including primes, induction, primitive roots, complexity, and the work of Euler, Fermat, Wilson, Legendre and Jacobi) and the cryptography basics (including ciphers, modes of operations and attacks) and includes the design elements of DES and AES, public-key cryptography (including ElGamal and digital envelopes), primality testing, factoring (including Pollard's algorithms), electronic mail and Internet security (including firewalls and cookies), and leading-edge applications such as login and network security, viruses and other infections, smart cards, and biometrics. Mollin also includes dozens of mini-biographies, including that of the aforesaid Pythagorus. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field.

With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies, as well as applications, including login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography.

New to the Second Edition:

An introductory chapter that provides more information on mathematical facts and complexity theory

Expanded and updated exercises sets, including some routine exercises

More information on primality testing and cryptanalysis

Accessible and logically organized, An Introduction to Cryptography, Second Edition is the essential book on the fundamentals of cryptography.