Korean J. Math. Vol. 25 No. 2 (2017) pp.201-209
DOI: https://doi.org/10.11568/kjm.2017.25.2.201

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

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Published: Jun 30, 2017
Keywords:
mass formula, self-orthogonal codes.
Mathematics Subject Classification:
94B05.

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Kwang Ho Kim
Department of Mathematics Kangwon National University Chuncheon 24341, Korea
Young Ho Park
Department of Mathematics Kangwon National University Chuncheon 24341, Korea

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.


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