Reversible and Reversible Complement Cyclic codes over a class of non-chain rings
Abstract
In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings Z4+ Z4 for 2 ∈ \0,1,,2,3,2+,2+3,3+2\ to be a reversible cyclic code have been established. Also, conditions for a cyclic code over these non-chain rings to be a reversible complement cyclic code which are necessary as well as sufficient have been determined. Some examples of reversible and reversible complement cyclic codes over these rings have also been presented.
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.