Applied Algebra, Algebraic Algorithms and Error-Correcting Codes 15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003, Proceedings /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Fossorier, Marc (Editor, http://id.loc.gov/vocabulary/relators/edt), Hoeholdt, Tom (Editor, http://id.loc.gov/vocabulary/relators/edt), Poli, Alain (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Computer Science, 2643
• Subjects: 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.

Table of Contents:

• 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.