DocumentCode :
2730363
Title :
A cyclic [6,3,4] group code and the hexacode over GF(4)
Author :
Ran, Moshe ; Snyders, Jakov
Author_Institution :
Dept. of Electr. Eng. Systs., Tel Aviv Univ., Israel
fYear :
1995
fDate :
17-22 Sep 1995
Firstpage :
275
Abstract :
A [6,3,4] code H6 over an Abelian group 𝒜4 with four elements is presented. H6 is cyclic, unlike the [6,3,4] hexacode E6 over GF(4). However, H6 and E6 are isomorphic when the latter is viewed as a group code. H6 is the smallest member of a class of [2k, k, 4] cyclic and reversible codes over 𝒜4
Keywords :
Galois fields; cyclic codes; group theory; Abelian group; Galois field; cyclic group code; hexacode; isomorphic code; reversible codes; Additives; Binary codes; Computational complexity; Hamming distance; Helium; Lattices; Linear code; Maximum likelihood decoding; Mercury (metals); Radio access networks;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
Type :
conf
DOI :
10.1109/ISIT.1995.535790
Filename :
535790
Link To Document :
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