Title :
Permutation codes for the Gaussian channel
Author_Institution :
Dept. of Math. Sci., North Carolina Univ., Wilmington, NC, USA
fDate :
7/1/1989 12:00:00 AM
Abstract :
The initial vector problem is considered for group codes for the Gaussian channel and, in particular, for codes generated by permutation groups. Variant I and variant II permutation codes are defined, and optimal initial vectors for these codes are constructed. A numerical algorithm for constructing optimal group codes is presented together with examples of this algorithm applied to several permutation groups
Keywords :
codes; telecommunication channels; Gaussian channel; group codes; initial vector problem; numerical algorithm; optimal group codes; permutation codes; Block codes; Error probability; Gaussian channels; Gaussian noise; Helium; Mathematics; Maximum likelihood decoding; Signal generators; Symmetric matrices; Transmitters;
Journal_Title :
Information Theory, IEEE Transactions on
