Title :
The ternary Golay code, the integers mod 9, and the Coxeter-Todd lattice
Author :
Calderbank, A.R. ; Sloane, N. J A
Author_Institution :
Math. Sci. Res. Center, AT&T Bell Labs., Murray Hill, NJ, USA
fDate :
3/1/1996 12:00:00 AM
Abstract :
The 12-dimensional Coxeter-Todd lattice can be obtained by lifting the ternary Golay code to a code over the integers mod 9 and applying Construction A
Keywords :
Golay codes; cyclic codes; dual codes; polynomials; 12-dimensional lattice; Coxeter-Todd lattice; generator polynomial; integers; self-dual code; self-orthogonal code; ternary Golay code; Convolution; Convolutional codes; Information theory; Lattices; Maximum likelihood decoding; Modulation coding; Performance loss; Phase shift keying; Quadrature amplitude modulation; Viterbi algorithm;
Journal_Title :
Information Theory, IEEE Transactions on
