Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Table of Contents

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   Book Overview
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   Chapter 1 On Bent and Highly Nonlinear Balanced/Resilient Functions and Their Algebraic Immunities
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   Chapter 2 On Generalized Parity Checks
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   Chapter 3 Cryptography Based on Bilinear Maps
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   Chapter 4 The Merit Factor Problem for Binary Sequences
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   Chapter 5 Quantum Period Reconstruction of Binary Sequences
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   Chapter 6 The Vector Key Equation and Multisequence Shift Register Synthesis
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   Chapter 7 A General Framework for Applying FGLM Techniques to Linear Codes
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   Chapter 8 A Theory of Highly Nonlinear Functions
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    Chapter 9 The Solutions of the Third Power Sum Equation for Niho Type Decimations
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    Chapter 10 On Constructing AG Codes Without Basis Functions for Riemann-Roch Spaces
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    Chapter 11 Computing Gröbner Bases for Vanishing Ideals of Finite Sets of Points
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    Chapter 12 A Class of Fermat Curves for which Weil-Serre’s Bound Can Be Improved
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    Chapter 13 Nonbinary Quantum Codes from Hermitian Curves
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    Chapter 14 A Genetic Algorithm for Cocyclic Hadamard Matrices
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    Chapter 15 Unconditionally Secure Chaffing-and-Winnowing: A Relationship Between Encryption and Authentication
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    Chapter 16 A Fast Calculus for the Linearizing Attack and Its Application to an Attack on KASUMI
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    Chapter 17 On Achieving Chosen Ciphertext Security with Decryption Errors
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    Chapter 18 Applying Fujisaki-Okamoto to Identity-Based Encryption
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    Chapter 19 A Short Random Fingerprinting Code Against a Small Number of Pirates
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    Chapter 20 A General Formulation of Algebraic and Fast Correlation Attacks Based on Dedicated Sample Decimation
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    Chapter 21 Traitor Tracing Against Powerful Attacks Using Combinatorial Designs
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    Chapter 22 New Bounds on the Capacity of Multi-dimensional RLL-Constrained Systems
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    Chapter 23 LDPC Codes for Fading Channels: Two Strategies
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    Chapter 24 Low-Floor Tanner Codes Via Hamming-Node or RSCC-Node Doping
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    Chapter 25 Algebraic Constructions of Quasi-cyclic LDPC Codes – Part I: For AWGN and Binary Random Erasure Channels
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    Chapter 26 Algebraic Construction of Quasi-cyclic LDPC Codes – Part II: For AWGN and Binary Random and Burst Erasure Channels
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    Chapter 27 New Constructions of Quasi-cyclic LDPC Codes Based on Two Classes of Balanced Incomplete Block Designs: For AWGN and Binary Erasure Channels
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    Chapter 28 Long Extended BCH Codes Are Spanned by Minimum Weight Words
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    Chapter 29 On the Feng-Rao Bound for Generalized Hamming Weights
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    Chapter 30 Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
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    Chapter 31 Complementary Sets and Reed-Muller Codes for Peak-to-Average Power Ratio Reduction in OFDM
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    Chapter 32 Hadamard Codes of Length 2 t s ( s Odd). Rank and Kernel