Title :
On Z4- and Z9-linear lifts of the Golay codes
Author :
Greferath, M. ; Viterbo, E.
Author_Institution :
Shannon Labs., AT&T, Florham Park, NJ, USA
Abstract :
In this paper we investigate Z4-linear and Z9-linear lifts of the extended binary and ternary Golay codes. We introduce weight functions on Z4 and Z9 which reflect previously unknown error-correcting and packing capabilities of these codes. We compare their properties with those of the Hamming, Lee and homogeneous weights and give algebraic decoding schemes using a general decoder
Keywords :
Golay codes; binary codes; cyclic codes; decoding; error correction codes; ternary codes; algebraic decoding schemes; error-correcting capabilities; extended binary Golay codes; extended ternary Golay codes; linear lifts; packing capabilities; weight functions; Code standards; Decoding; Error correction; Error correction codes; Hamming weight; Parity check codes; Volume measurement;
Conference_Titel :
Information Theory and Communications Workshop, 1999. Proceedings of the 1999 IEEE
Conference_Location :
Kruger National Park
Print_ISBN :
0-7803-5268-8
DOI :
10.1109/ITCOM.1999.781448
