Cryptology and Error Correction

Table of Contents

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   Book Overview
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   Chapter 1 Secure, Reliable Information
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   Chapter 2 Modular Arithmetic
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   Chapter 3 Linear Equations Modulo m
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   Chapter 4 Unique Factorization in $$\mathbb {Z}$$ Z
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   Chapter 5 Rings and Fields
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   Chapter 6 Polynomials
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   Chapter 7 Matrices and Hamming Codes
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   Chapter 8 Orders and Euler’s Theorem
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    Chapter 9 RSA Cryptography and Prime Numbers
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    Chapter 10 Groups, Cosets and Lagrange’s Theorem
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    Chapter 11 Solving Systems of Congruences
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    Chapter 12 Homomorphisms and Euler’s Phi Function
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    Chapter 13 Cyclic Groups and Cryptography
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    Chapter 14 Applications of Cosets
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    Chapter 15 An Introduction to Reed–Solomon Codes
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    Chapter 16 Blum-Goldwasser Cryptography
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    Chapter 17 Factoring by the Quadratic Sieve
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    Chapter 18 Polynomials and Finite Fields
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    Chapter 19 Reed-Solomon Codes II