$\mathbb{Z}_p\mathbb{Z}_p[u]$-additive codes
نویسندگان
چکیده
Abstract: In this paper, we study ZpZp[u]-additive codes, where p is prime and u 2 = 0. In particular, we determine a Gray map from ZpZp[u] to Z α+2β p and study generator and parity check matrices for these codes. We prove that a Gray map Φ is a distance preserving map from (ZpZp[u],Gray distance) to (Z α+2β p ,Hamming distance), it is a weight preserving map as well. Furthermore we study the structure of ZpZp[u]-additive cyclic codes.
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