Applied Algebra, Algebraic Algorithms and Error-Correcting Codes : 15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003, Proceedings / / edited by Marc Fossorier, Tom Hoeholdt, Alain Poli

• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
• Edizione: 1st ed. 2003.
• Descrizione fisica: 1 online resource (X, 270 p.)
• Disciplina: 005.7/2
• Soggetto topico: Algebra; Coding theory; Information theory; Data encryption (Computer science); Algorithms; Computer science—Mathematics; Coding and Information Theory; Cryptology; Algorithm Analysis and Problem Complexity; Discrete Mathematics in Computer Science; Symbolic and Algebraic Manipulation
• Persona (resp. second.): FossorierMarc; HoeholdtTom; PoliAlain
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Cryptography and the Methodology of Provable Security -- Dynamical Systems Generated by Rational Functions -- Homotopy Methods for Equations over Finite Fields -- Three Constructions of Authentication/Secrecy Codes -- The Jacobi Model of an Elliptic Curve and Side-Channel Analysis -- Fast Point Multiplication on Elliptic Curves through Isogenies -- Interpolation of the Elliptic Curve Diffie-Hellman Mapping -- An Optimized Algebraic Method for Higher Order Differential Attack -- Fighting Two Pirates -- Copyright Control and Separating Systems -- Unconditionally Secure Homomorphic Pre-distributed Commitments -- A Class of Low-Density Parity-Check Codes Constructed Based on Reed-Solomon Codes with Two Information Symbols -- Relative Duality in MacWilliams Identity -- Good Expander Graphs and Expander Codes: Parameters and Decoding -- On the Covering Radius of Certain Cyclic Codes -- Unitary Error Bases: Constructions, Equivalence, and Applications -- Differentially 2-Uniform Cocycles — The Binary Case -- The Second and Third Generalized Hamming Weights of Algebraic Geometry Codes -- Error Correcting Codes over Algebraic Surfaces -- A Geometric View of Decoding AG Codes -- Performance Analysis of M-PSK Signal Constellations in Riemannian Varieties -- Improvements to Evaluation Codes and New Characterizations of Arf Semigroups -- Optimal 2-Dimensional 3-Dispersion Lattices -- On g-th MDS Codes and Matroids -- On the Minimum Distance of Some Families of ?2 k-Linear Codes -- Quasicyclic Codes of Index ? over F q Viewed as F q[x]-Submodules of F q ?[x]/?x m?1? -- Fast Decomposition of Polynomials with Known Galois Group.
• Sommario/riassunto: This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are 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.
• Titolo autorizzato: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
• ISBN: 3-540-44828-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910144030303321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Computer Science, . 0302-9743 ; ; 2643