Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra

This volume contains the proceedings of the 4th International Conference on Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra (AAECC-4), held in Karlsruhe, 23-26 September, 1986. Selected papers which were given at the conference have been reviewed a second time and are presented here.

Inhalt
Applicable algebra, error-correcting codes, combinatorics and computer algebra.- From T(m) triangular graphs to single-error-correcting codes.- Integration of graphical tools in a computer algebra system.- Type inference using unification in computer algebra.- The weight distribution of double-error-correcting goppa codes.- A simple analysis of the blokh-Zyablov decoding algorithm.- Design of a viterbi decoder with microprocessor-based serial implementation.- On s-sum-sets (s odd) and three-weight projective codes.- On the integration of numeric and algebraic computations.- A symbolic manipulation system for combinatorial problems.- Standard bases and non-noetherianity: Non-commutative polynomial rings.- Embedding self-dual codes into projective space.- The finite fourier-transform as a modular substitution.- On computers and modular representations of SL n (K).- Construction of SDMC codes over GF (2) or GF (3).- FAST16 : A software program for factorising polynomials over large GF(p).- Characterization of completely regular codes through p-polynomial association schemes.- Codes on hermitian curves.- Symmetries of cyclic extended goppa codes over Fq.- Some bounds for the construction of Gröbner bases.- Analysis of a class of algorithms for problems on trace languages.