Title :
On Z4- and Z9-linear lifts of the Golay codes
Author :
Greferath, Marcus ; Viterbo, Emanuele
Author_Institution :
AT&T Labs.-Res., Florham Park, NJ, USA
fDate :
11/1/1999 12:00:00 AM
Abstract :
We analyze Z4S- and Z9-linear lifts of the binary [24, 12] and ternary [12, 6]-Golay code under different weight functions on the underlying ring, and present algebraic decoding schemes for these codes
Keywords :
Golay codes; binary codes; cyclic codes; decoding; Z4-linear lift; Z9-linear lift; algebraic decoding; binary Golay code; bounded distance decoder; cyclic Golay codes; permutations; ring; ternary Golay code; weight functions; Binary codes; Code standards; Decoding; Error correction; Lattices; Mathematics; Parity check codes; Standards publication; Volume measurement;
Journal_Title :
Information Theory, IEEE Transactions on