On the Number of Inequivalent Binary Self-Orthogonal Codes

Details On the Number of Inequivalent Binary Self-Orthogonal Codes On the Number of Inequivalent Binary Self-Orthogonal Codes

2007-02-05

arxiv.org/abs/math/0702110v1

Mathematics

Combinatorics

41 pages

Scientific paper

Let $\Psi_{k,n}$ denote the number of inequivalent binary self-orthogonal
$[n,k]$ codes. We present a method which allows us to compute $\Psi_{k,n}$
explicitly for a moderate $k$ and an arbitrary $n$. Included in this paper are
explicit formulas for $\Psi_{k,n}$ with $k\le 5$.

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