Cumulative-Separable Codes

Published 10 May 2010 in cs.IT and math.IT | (1005.1524v1)

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

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