Applied Algebra, Algebraic Algorithms and Error-Correcting Codes [electronic resource] : 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings /

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 ErasureChannels -- 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.