Extremal Type I additive self-dual codes over $GF(4)$ with near-minimal shadow
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 $n = 6m+1 (m \geq 0)$, $n = 6m+5 (m \geq 1)$.
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