Title :
Generalized Hamming weights of q-ary Reed-Muller codes
Author :
Heijnen, Petra ; Pellikaan, Ruud
Author_Institution :
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
fDate :
29 Jun-4 Jul 1997
Abstract :
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter
Keywords :
Goppa codes; Reed-Muller codes; geometric codes; generalized Hamming weights; geometric Goppa codes; order bound; q-ary Reed-Muller codes; Hamming weight; Linear code; Mathematics; Polynomials;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613295
