The mass formula of self-orthogonal codes over $\mathbf {GF(q)}$

Kwang Ho Kim, Young Ho Park

Abstract


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.

Keywords


mass formula, self-orthogonal codes.

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References


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DOI: http://dx.doi.org/10.11568/kjm.2017.25.2.201

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