Cryptology - Richard E. Klima

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Biographie:
Richard E. Klima is a professor in the Department of Mathematical Sciences at Appalachian State University. Prior to Appalachian State, Dr. Klima was a cryptologic mathematician at the National Security Agency. He earned a Ph.D. in applied mathematics from North Carolina State University. His research interests include cryptology, error-correcting codes, applications of linear and abstract algebra, and election theory. Neil P. Sigmon is an associate professor in the Department of Mathematics and Statistics at Radford University. Dr. Sigmon earned a Ph.D. in applied mathematics from North Carolina State University. His research interests include cryptology, the use of technology to illustrate mathematical concepts, and applications of linear and abstract algebra.

Sommaire:
Introduction to Cryptology Basic Terminology Cryptology in Practice Why Study Cryptology? Substitution Ciphers Keyword Substitution Ciphers A Maplet for Substitution Ciphers Cryptanalysis of Substitution Ciphers A Maplet for Cryptanalysis of Substitution Ciphers Playfair Ciphers A Maplet for Playfair Ciphers Transposition Ciphers Columnar Transposition Ciphers A Maplet for Transposition Ciphers Cryptanalysis of Transposition Ciphers Maplets for Cryptanalysis of Transposition Ciphers ADFGX and ADFGVX Ciphers A Maplet for ADFGX and ADFGVX Ciphers The Enigma Machine and Navajo Code The Enigma Cipher Machine A Maplet for the Enigma Cipher Machine Combinatorics Cryptanalysis of the Enigma Cipher Machine The Navajo Code A Maplet for the Navajo Code Shift and Affine Ciphers Modular Arithmetic A Maplet for Modular Reduction Shift Ciphers A Maplet for Shift Ciphers Cryptanalysis of Shift Ciphers A Maplet for Cryptanalysis of Shift Ciphers Affine Ciphers A Maplet for Affine Ciphers Cryptanalysis of Affine Ciphers A Maplet for Cryptanalysis of Affine Ciphers Alberti and Vigenere Ciphers Alberti Ciphers A Maplet for Alberti Ciphers Vigenere Ciphers A Maplet for Vigenere Keyword Ciphers Probability The Friedman Test A Maplet for the Friedman Test The Kasiski Test A Maplet for the Kasiski Test Cryptanalysis of Vigenere Keyword Ciphers A Maplet for Cryptanalysis of Vigenere Keyword Ciphers Hill Ciphers Matrices A Maplet for Matrix Multiplication Hill Ciphers A Maplet for Hill Ciphers Cryptanalysis of Hill Ciphers A Maplet for Cryptanalysis of Hill Ciphers RSA Ciphers Introduction to Public-Key Ciphers Introduction to RSA Ciphers The Euclidean Algorithm Maplets for the Euclidean Algorithm Modular Exponentiation A Maplet for Modular Exponentiation ASCII RSA Ciphers Maplets for RSA Ciphers Cryptanalysis of RSA Ciphers A Maplet for Cryptanalysis of RSA Ciphers Primality Testing Integer Factorization The RSA Factoring Challenges ElGamal Ciphers The Diffie-Hellman Key Exchange Maplets for the Diffie-Hellman Key Exchange Discrete Logarithms A Maplet for Discrete Logarithms ElGamal Ciphers Maplets for ElGamal Ciphers Cryptanalysis of ElGamal Ciphers A Maplet for Cryptanalysis of ElGamal Ciphers The Advanced Encryption Standard Representations of Numbers A Maplet for Base Conversions Stream Ciphers A Maplet for Stream Ciphers AES Preliminaries AES Encryption AES Decryption A Maplet for AES Ciphers AES Security Message Authentication RSA Signatures Hash Functions RSA Signatures with Hashing Maplets for RSA Signatures The Man-in-the-Middle Attack A Maplet for the Man-in-the-Middle Attack Public-Key Infrastructures Maplets for X.509 Certificates Bibliography Hints or Answers to Selected Exercises Index