Applied Algebra, Algebraic Algorithms and Error-Correcting Codes -

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Sommaire:
Non simple tournaments : Theoretical properties and a polynomial algorithm.- Covering radius for codes obtained from T(m) triangular graphs.- Searching for weakly autocorrelated binary sequences.- On the prefixes of a random trace and the membership problem for context-free trace languages.- On decoding binary quadratic residue codes.- Pseudometrics associated with fuzzy relations having weak properties.- Towards an expert system for error correcting codes: SECC.- An Iterative Euclidean Algorithm.- Gr?bner bases and differential algebra.- A procedure to prove geometrical statements.- Some applications of a classification of affine-invariant codes.- On the computation of the local and global analytic branches of a real algebraic curve.- Distribution of codewords and decoding error rate in rs codes with application to performance evaluation from optical disc.- On generalized minimum distance decoding.- Newton symmetric functions and the arithmetic of algebraically closed fields.- Non linear covering codes : A few results and conjectures.- Grobner bases, Ritt's algorithm and decision procedures for algebraic theories.- An algebraic model for the storage of data in parallel memories.- Algebrric solution of systems of polynomirl equations using Groebher bases.- How to decide whether a polynomial ideal is primary or not.- On the computational complexity of polynomials and bilinear mappings. A survey.- Coding theory and its applications in Japan.- Binary sequences with good correlation properties.- Hankel matrices and polynomials.- On the (d,D,D,s)-digraph problem.- It is decidable in polynomial time whether a monoid presented by a finite weight-reducing and confluent thue system is torsion-free.- A shift-remainder GCD algorithm.- New class of cyclic, random and burst errorcorrecting codes.- A conjecture on the free distance of (2,1,m) binary convolutional codes.- On the construction of completely regular linear codes from distance - Regular graphs.- Synthesis of two-dimensional linear feedback shift registers and Groebner bases.- Constructing universal Gr?bner bases.