Title :
Weighted Reed-Muller codes and algebraic-geometric codes
Author_Institution :
Dept. of Math., Aarhus Univ.
fDate :
11/1/1992 12:00:00 AM
Abstract :
A generalization of the Reed-Muller codes, the weighted Reed-Muller codes, is presented. The code parameters are estimated and the duals are shown also to be weighted Reed-Muller codes. It is shown how the minimum distance of certain algebraic-geometric codes in many cases can be determined exactly or an upper bound can be found, using subcodes which are weighted Reed-Muller codes
Keywords :
codes; parameter estimation; algebraic-geometric codes; code parameters; minimum distance; parameter estimation; subcodes; upper bound; weighted Reed-Muller codes; Councils; Galois fields; Geometry; Linear code; Mathematics; Parameter estimation; Polynomials; Upper bound; Welding;
Journal_Title :
Information Theory, IEEE Transactions on
