DocumentCode :
3085857
Title :
Additive Reed-Muller codes
Author :
Pujol, Jaume ; Rifà, Josep
Author_Institution :
Dept. d´´Inf., Univ. Autonoma de Barcelona, Spain
fYear :
1997
fDate :
29 Jun-4 Jul 1997
Firstpage :
508
Abstract :
We construct a new class of additive codes of type Z2 k1⊕Z4k2. These codes have a binary nonlinear structure, but it is possible to give a description of them as additive subgroups of Z2k1⊕Z4 k2. In this paper a generalization of linear Reed-Muller codes is obtained
Keywords :
Galois fields; Reed-Muller codes; error correction codes; Galois field; Reed-Muller codes; additive codes; additive subgroups; binary nonlinear structure; linear codes; Additives; Binary codes; Galois fields; Hamming weight; Parity check codes; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
Type :
conf
DOI :
10.1109/ISIT.1997.613445
Filename :
613445
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3085857
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