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Turkish Journal of Mathematics

DOI

10.3906/mat-1905-103

Abstract

In this short note we give an exact count for the number of self-dual codes over a finite field $\mathbb F_q$ of odd characteristic containing a given self-orthogonal code. This generalizes an analogous result of MacWilliams, Sloane, and Thompson over the field $\mathbb F_2$ to arbitrary odd finite fields $\mathbb F_q$.

First Page

2177

Last Page

2182

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