Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003, Proceedings / Edition 1

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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.

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Product Details

  • ISBN-13: 9783540401117
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 6/4/2003
  • Series: Lecture Notes in Computer Science Series, #2643
  • Edition description: 2003
  • Edition number: 1
  • Pages: 270
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.59 (d)

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.

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