Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 12th International Symposium, AAECC-12, Toulouse, France, June, 23-27, 1997, Proceedings, Volume 12
Springer Science & Business Media, Jun 11, 1997 - Computers - 352 pages
This book constitutes the strictly refereed proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-12, held in Toulouse, France, June 1997.
The 27 revised full papers presented were carefully selected by the program committee for inclusion in the volume. The papers address a broad range of current issues in coding theory and computer algebra spanning polynomials, factorization, commutative algebra, real geometry, group theory, etc. on the mathematical side as well as software systems, telecommunication, complexity theory, compression, signal processing, etc. on the computer science and engineering side.
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addition chain algebraic array vector assume block codes Borel set bound canonical polygon cocyclic code of length codewords coefficients complexity Computer Science consider constacyclic codes construction Corollary corresponding cyclic codes decoding algorithm decomposition defined Definition denote differential polynomials elements equal equation error error-correction Euclidean example exists exponentiation factors finite fields given Grobner basis group ring Hadamard Hadamard matrices Hamming weights Hence homotopy ideal IEEE Trans implementation implies inflection segment integer Iog2 isometry iteration key stream lattice Leech lattice Lemma lexicographic set linear codes mdeg method minimal polynomial minimum distance minimum-link monomial multiplication multivariate nonzero normal basis notation obtained parameters parity-checks polynomial matrix Proceedings Proof Proposition representation ring satisfy the TCC self-dual codes sequence space split step subcode subgroup subset syndrome array Theorem Theory unimodular lattices univariate values variables weight enumerator weight function word chain zero