Cumulative-Separable Codes

Abstract

q-ary cumulative-separable $\Gamma (L,G^{(j)})$-codes $L=\{\alpha \in GF(q^m):G(\alpha )\ne 0\}$ and $G^{(j)}(x)=G(x{)}^j,1\le i\le q$ are considered. The relation between different codes from this class is demonstrated. Improved boundaries of the minimum distance and dimension are obtained.

14 pages, 1 figure

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