The Structure of Z2[u]Z2[u, v]-additive Codes
Abstract
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 Z22α+8eta 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.