On Z2Z4[\xi]-Skew Cyclic Codes
نویسندگان
چکیده
Z2Z4-additive codes have been defined as a subgroup of Z r 2 ×Z s 4 in [5] where Z2, Z4 are the rings of integers modulo 2 and 4 respectively and r and s positive integers. In this study, we define a new family of codes over the set Zr2[ξ̄] × Z s 4[ξ] where ξ is the root of a monic basic primitive polynomial in Z4[x]. We give the standard form of the generator and parity-check matrices of codes over Zr2[ξ̄] × Z s 4[ξ] and also we introduce skew cyclic codes and their spanning sets over this set.
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