The mass formula of self-orthogonal codes over $\mathbf {GF(q)}$
Kwang Ho Kim, Youngho Park · Korean Journal of Mathematics · 2017
There exists already mass formula which is the number of self orthogonal codes in $GF(q)^n$, but not proof of it. In this paper we described some theories about finite geometry and by using them proved the mass formula when $q=p^m$, $p$ is odd prime.