05363nam 22008175 450 991048358500332120251226202436.03-540-31424-510.1007/11617983(CKB)1000000000232777(SSID)ssj0000316262(PQKBManifestationID)11242661(PQKBTitleCode)TC0000316262(PQKBWorkID)10263191(PQKB)10251939(DE-He213)978-3-540-31424-0(MiAaPQ)EBC3068421(PPN)123130786(BIP)32371752(BIP)13248044(EXLCZ)99100000000023277720100419d2006 u| 0engurnn#008mamaatxtccrApplied Algebra, Algebraic Algorithms and Error-Correcting Codes 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings /edited by Marc Fossorier, Hideki Imai, Shu Lin, Alain Poli1st ed. 2006.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2006.1 online resource (XII, 344 p.)Theoretical Computer Science and General Issues,2512-2029 ;3857Bibliographic Level Mode of Issuance: Monograph3-540-31423-7 Includes bibliographical references and index.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.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.Theoretical Computer Science and General Issues,2512-2029 ;3857Coding theoryInformation theoryCryptographyData encryption (Computer science)Computer scienceMathematicsDiscrete mathematicsAlgorithmsCoding and Information TheoryCryptologyDiscrete Mathematics in Computer ScienceAlgorithmsSymbolic and Algebraic ManipulationCoding theory.Information theory.Cryptography.Data encryption (Computer science).Computer scienceMathematics.Discrete mathematics.Algorithms.Coding and Information Theory.Cryptology.Discrete Mathematics in Computer Science.Algorithms.Symbolic and Algebraic Manipulation.005.72Fossorier Marc1964-1750482MiAaPQMiAaPQMiAaPQBOOK9910483585003321Applied algebra, algebraic algorithms and error-correcting codes4185124UNINA