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http://dx.doi.org/10.11568/kjm.2018.26.4.729

EXTREMAL TYPE I ADDITIVE SELF-DUAL CODES OVER GF(4) WITH NEAR-MINIMAL SHADOW  

Han, Sunghyu (School of Liberal Arts, KoreaTech)
Publication Information
Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 729-740 More about this Journal
Abstract
In this paper, we define near-minimal shadow and study the existence problem of extremal Type I additive self-dual codes over GF(4) with near-minimal shadow. We prove that there is no such codes if the code length n = 6m+1($m{\geq}0$), $n=6m+5(m{\geq}1)$.
Keywords
additive codes over GF(4); extremal codes; minimal shadow; near-minimal shadow; self-dual codes;
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