Applied Algebra, Algebraic Algorithms and Error-Correcting Codes :
[Book]
15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003 Proceedings.
Jaime G Carbonell
Berlin/Heidelberg
Springer Berlin Heidelberg
2003
(274 pages)
Author Index.
Lecture Notes in Computer Science; Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; Copyright; Preface; Organization; 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 AttackFighting 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 CodesError 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 Z2k-Linear Codes; Quasicyclic Codes of Index over Fq Viewed as Fq[x]-Submodules of Fql[x]/ (xm − 1); Fast Decomposition of Polynomials with Known Galois Group