1.

Record Nr.

UNINA9910144030303321

Titolo

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

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003

ISBN

3-540-44828-4

Edizione

[1st ed. 2003.]

Descrizione fisica

1 online resource (X, 270 p.)

Collana

Lecture Notes in Computer Science, , 0302-9743 ; ; 2643

Disciplina

005.7/2

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.