Cryptography and Computational Number Theory

Table of Contents

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   Book Overview
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   Chapter 1 On the Dimension and the Number of Parameters of a Unirational Variety
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   Chapter 2 On Elements of High Order in Finite Fields
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   Chapter 3 Counting the Number of Points on Affine Diagonal Curves
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   Chapter 4 Small Values of the Carmichael Function and Cryptographic Applications
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   Chapter 5 Density Estimates Related to Gauß Periods
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   Chapter 6 The Distribution of the Coefficients of Primitive Polynomials over Finite Fields
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   Chapter 7 The Distribution of the Quadratic Symbol in Function Fields and a Faster Mathematical Stream Cipher
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   Chapter 8 Rational Groups of Elliptic Curves Suitable for Cryptography
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    Chapter 9 Effective Determination of the Proportion of Split Primes in Number Fields
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    Chapter 10 Algorithms for Generating, Testing and Proving Primes: A Survey
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    Chapter 11 Elliptic Curve Factorization Using a “Partially Oblivious” Function
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    Chapter 12 The Hermite-Serret Algorithm and 12 2 + 33 2
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    Chapter 13 Applications of Algebraic Curves to Constructions of Sequences
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    Chapter 14 Designated 2-Verifier Proofs and their Application to Electronic Commerce
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    Chapter 15 A Survey of Divide and Conquer Attacks on Certain Irregularly Clocked Stream Ciphers
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    Chapter 16 New Results on the Randomness of Visual Cryptography Schemes
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    Chapter 17 Authentication-Myths and Misconceptions
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    Chapter 18 A Survey of Hard Core Functions
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    Chapter 19 On the Security of Diffie-Hellman Bits
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    Chapter 20 Polynomial Rings and Efficient Public Key Authentication II
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    Chapter 21 Security of Biased Sources for Cryptographic Keys
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    Chapter 22 Achieving Optimal Fairness from Biased Coinflips
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    Chapter 23 The Dark Side of the Hidden Number Problem: Lattice Attacks on DSA
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    Chapter 24 Distribution of Modular Sums and the Security of the Server Aided Exponentiation
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    Chapter 25 A General Construction for Fail-Stop Signature using Authentication Codes
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    Chapter 26 Robust Additive Secret Sharing Schemes over Z m
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    Chapter 27 RSA Public Key Validation