Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

The 25 revised full papers presented here together with 7 invited papers address subjects such as block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Contenu

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