Title :
The algebraic decoding of the Z4-linear Calderbank-McGuire code
Author :
Rong, Chunming ; Helleseth, Tor
Author_Institution :
Dept. of Inf., Bergen Univ., Norway
fDate :
29 Jun-4 Jul 1997
Abstract :
The Calderbank-McGuire (1994) code is a Z4-linear code of length 32 which has 237 codewords and minimum Lee distance 12. The Gray map of this code is known to be a nonlinear binary (64, 2 37, 12) code. The Calderbank-McGuire code can correct all errors with Lee-weight ⩽5 and we present an algebraic decoding algorithm for the code
Keywords :
binary sequences; decoding; error correction codes; linear codes; matrix algebra; Gray map; Lee-weight; Z4-linear Calderbank-McGuire code; algebraic decoding algorithm; code length; codewords; error correction codes; minimum Lee distance; nonlinear binary code; Binary codes; Councils; Decoding; Equations; Error correction codes; Galois fields; Hamming distance; Informatics; Linear code; Parity check codes;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613256
