Applied Algebra, Algebraic Algorithms and Error-Correcting Codes : 15th International Symposium, AAECC-15, Toulouse, France, May 1216, 2003 Proceedings / edited by Marc Fossorier, Tom Hholdt, Alain Poli.

Contributor(s): Fossorier, Marc | Hholdt, Tom | Poli, Alain
Material type: TextTextSeries: SerienbezeichnungLecture notes in computer science: 2643,Publisher: Berlin ; Heidelberg : Springer-Verlag Berlin Heidelberg, 2003Description: 1 online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540448280; 3540448284Subject(s): Error-correcting codes (Information theory) -- Congresses | Algebra -- Data processing -- Congresses | Algorithms -- Congresses | Computer science | Data encryption (Computer science) | Coding theory | Computer software | Computational complexity | Algebra -- Data processing | Algorithms | Coding theory | Computational complexity | Computer science | Computer software | Data encryption (Computer science) | Error-correcting codes (Information theory)Genre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:AAECC-15 (2003 : Toulouse, France): Applied algebra, algebraic algorithms and error-correcting codes : 15th international symposium, AAECC-15, Toulouse, France, May 12-16, 2003 : proceedingsDDC classification: 005.7/2 LOC classification: QA268 | .A355 2003Online resources: Click here to access online
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.
Summary: 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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Includes bibliographical references and index.

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.

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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