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MAA Reviews

Cryptology: Classical and Modern with Maplets

Richard E. Klima and Neil P. Sigmon

Table of Contents

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 Vigenère Ciphers
Alberti Ciphers
A Maplet for Alberti Ciphers
Vigenère Ciphers
A Maplet for Vigenère Keyword Ciphers
Probability
The Friedman Test
A Maplet for the Friedman Test
The Kasiski Test
A Maplet for the Kasiski Test
Cryptanalysis of Vigenère Keyword Ciphers
A Maplet for Cryptanalysis of Vigenère 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

Related Titles

 

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