Applied Algebra, Algebraic Algorithms and Error-Correcting Codes -

. .

Sommaire:
The coding theory of finite geometries and designs.- Recent results on covering problems.- Codes and curves.- Computer and commutative algebra.- The multiplicative complexity of boolean functions.- An algorithm on quasi-ordinary polynomials.- A computer-aided design for sampling a nonlinear analytic system.- Decoding of generalized concatenated codes.- Backtrack searching in the presence of symmetry.- Fast serial-parallel multipliers.- On the complexity of computing class groups of algebraic number fields.- Some new effectivity bounds in computational geometry.- Some remarks on the differential dimension.- On the asymptotic badness of cyclic codes with block-lengths composed from a fixed set of prime factors.- Big numbers p-adic arithmetic: A parallel approach.- Monomial ideals, group algebras and error correcting codes.- Fast integer multiplication by block recursive, number theoretical transforms.- Lambda-Upsilon-Omega: An assistant algorithms analyzer.- Global dimension of associative algebras.- Symmetry and duality in normal basis multiplication.- Multiple error correction with Analog Codes.- On the complexity of satisfiability problems for algebraic structures (preliminary report).- A computational proof of the Noether normalization lemma.- A graphics interface to REDUCE.- Vlsi designs for multiplication over finite fields GF(2m).- A primality test using cyclotomic extensions.- The method of syndrome coding and its application for data compression and processing in high energy physics experiments.- Nonassociative degree five identities not implied by commutativity: A computer approach.- On completely regular propelinear codes.- N-dimensional Berlekamp-Massey algorithm for multiple arrays and construction of multivariate polynomials with preassigned zeros.- Coveringradius: Improving on the sphere-covering bound.- On Goldman's algorithm for solving first-order multinomial autonomous systems.- A covering problem in the odd graphs.- On the computation of Hilbert-Samuel series and multiplicity.- Succinct representations of counting problems.- How to guess ?-th roots modulo n by reducing lattice bases.- A study on Imai-Hirakawa trellis-coded modulation schemes.- Embedding flexible control strategies into object oriented languages.- Majority decoding of large repetition codes for the r-ary symmetric channel.- On binary codes of order 3.- Polynomial decomposition algorithm of almost quadratic complexity.- The weights of the orthogonals of certain cyclic codes or extended GOPPA codes.