Cumulative-Separable Codes

q-ary cumulative-separable $\mathrm{\Gamma }(L,G^{(j)})$-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.