On the Number of Inequivalent Binary Self-Orthogonal Codes

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 les 5.