Korean J. Math.  Vol 26, No 4 (2018)  pp.729-740
DOI: https://doi.org/10.11568/kjm.2018.26.4.729

Extremal Type I additive self-dual codes over $GF(4)$ with near-minimal shadow

Sunghyu Han


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 $n = 6m+1 (m \geq 0)$, $n = 6m+5 (m \geq 1)$.


additive codes over $GF(4)$; extremal codes; minimal shadow; near-minimal shadow; self-dual codes

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