Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 12th International Symposium, AAECC-12 Toulouse, France, June 23–27, 1997 Proceedings

Minimun distance decoding algorithms for linear codes....Pages 1-14
Efficient multivariate factorization over finite fields....Pages 15-28
On maximal codes in polynomial metric spaces....Pages 29-38
Yet another ideal decomposition algorithm....Pages 39-54
A resultant theory for ordinary algebraic differential equations....Pages 55-65
On repeated-root cyclic codes and the two-way chain condition....Pages 66-77
Exponentiation in finite fields: Theory and practice....Pages 78-87
Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane....Pages 88-113
Certain self-dual codes over ℤ 4 and the odd Leech lattice....Pages 114-129
Order functions and evaluation codes....Pages 130-137
Codes from cocycles....Pages 138-150
A brief tour of split linear programming....Pages 151-163
Elementary approximation of exponentials of Lie polynomials....Pages 164-173
On the q -ary image of cyclic codes....Pages 174-188
The split weight ( w L , w R ) enumeration of Reed-Muller codes for w L + w R <2 d min ....Pages 189-196
Optimal linear codes of dimension 4 over GF (5)....Pages 197-211
Characterisations of lexicographic sets and simply-connected Hilbert schemes....Pages 212-220
An iterative probabilistic decoding algorithm for binary linear block codes beyond the half minimum distance....Pages 221-236
Security examination of a cellular automata based pseudorandom bit generator using an algebraic replica approach....Pages 237-249
Formal duality of linearly presentable codes over a Galois field....Pages 250-262
Trace-function on a Galois ring in coding theory....Pages 263-276
A vector version of the BMS algorithm for implementing fast erasure-and-error decoding of one-point AG codes....Pages 277-290
On generalized Hamming weights of codes constructed on affine algebraic sets....Pages 291-310
Some results on regular mappings....Pages 311-320
Extension theorems for linear codes over finite rings....Pages 321-328
Nonperiodic cyclic equivalence classes of cyclic codes and algebraic constructions of cyclically permutable codes....Pages 329-340
....Pages 341-352