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http://dx.doi.org/10.14317/jami.2012.30.5_6.821

NOTES ON MDS SELF-DUAL CODES  

Han, Sunghyu (School of Liberal Arts, Korea University of Technology and Education)
Publication Information
Journal of applied mathematics & informatics / v.30, no.5_6, 2012 , pp. 821-827 More about this Journal
Abstract
In this paper, we prove that for all odd prime powers $q$ there exist MDS(maximum distance separable) self-dual codes over $\mathbb{F}_{q^2}$ for all even lengths up to $q+1$. Additionally, we prove that there exist MDS self-dual codes of length four over $\mathbb{F}_q$ for all $q$ > 2, $q{\neq}5$.
Keywords
MDS codes; puncture code; self-dual codes; MDS self-dual codes;
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