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The Structure of Z_2[u]Z_2[u, v]-additive Codes (1601.04859v1)
Published 19 Jan 2016 in cs.IT and math.IT
Abstract: In this paper, we study the algebraic structure of Z_2[u]Z_2[u, v]-additive codes which are Z_2[u, v]-submodules where u2 = v2 = 0 and uv = vu. In particular, we determine a Gray map from Z_2[u]Z_2 [u, v] to Z_2{2{\alpha}+8\b{eta}} and study generator and parity check matrices for these codes. Further we study the structure of Z_2[u]Z_2[u, v]-additive cyclic codes and constacyclic codes.