Applied Algebra, Algebraic Algorithms and Error-Correcting Codes 15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003, Proceedings /
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes 15th International Symposium, AAECC-15, Toulouse, France, May 12-16, 2003, Proceedings / [electronic resource] :
edited by Marc Fossorier, Tom Hoeholdt, Alain Poli.
- 1st ed. 2003.
- X, 270 p. online resource.
- Lecture Notes in Computer Science, 2643 1611-3349 ; .
- Lecture Notes in Computer Science, 2643 .
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.
9783540448280
10.1007/3-540-44828-4 doi
Algebra.
Coding theory.
Information theory.
Cryptography.
Data encryption (Computer science).
Algorithms.
Computer science--Mathematics.
Discrete mathematics.
Algebra.
Coding and Information Theory.
Cryptology.
Algorithms.
Discrete Mathematics in Computer Science.
Symbolic and Algebraic Manipulation.
QA150-272
512
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.
9783540448280
10.1007/3-540-44828-4 doi
Algebra.
Coding theory.
Information theory.
Cryptography.
Data encryption (Computer science).
Algorithms.
Computer science--Mathematics.
Discrete mathematics.
Algebra.
Coding and Information Theory.
Cryptology.
Algorithms.
Discrete Mathematics in Computer Science.
Symbolic and Algebraic Manipulation.
QA150-272
512