Title :
On the Number of Inequivalent Binary Self-Orthogonal Codes
Author_Institution :
Univ. of South Florida, Tampa
fDate :
7/1/2007 12:00:00 AM
Abstract :
Let Psik,n denote the number of inequivalent binary self-orthogonal [n, k] codes. We present a method which allows us to compute Psik,n explicitly for a moderate k and an arbitrary n. Included in this paper are explicit formulas for Psik,n with k les 5.
Keywords :
binary codes; orthogonal codes; binary self-orthogonal code,; general linear group; inequivalent binary; quadratic form; symmetric group; Codes; Instruction sets; Mathematics; Binary self-orthogonal code; equivalence; general linear group; quadratic form; symmetric group;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.899542