2016/01/19 by N. Annamalai, Annamalai, N., C. Durairajan +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1601.04859
openalex publication_date 2016/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the algebraic structure of Z2[u]Z2[u, v]-additive codes which are Z2[u, v]-submodules where u2 = v2 = 0 and uv = vu. In particular, we determine a Gray map from Z2[u]Z2 [u, v] to Z2^2α+8\beta and study generator and parity check matrices for these codes. Further we study the structure of Z2[u]Z2[u, v]-additive cyclic codes and constacyclic codes.