An Unified Approach on Constructing of MDS Self-dual Codes via Reed-Solomon Codes
Abstract
Based on the fundamental results on MDS self-dual codes over finite fields constructed via generalized Reed-Solomon codes JX and extended generalized Reed-Solomon codes Yan, many series of MDS self-dual codes with different length have been obtained recently by a variety of constructions and individual computations. In this paper, we present an unified approach to get several previous results with concise statements and simplified proofs, and some new constructions on MDS self-dual codes. In the conclusion section we raise two open problems.
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.