2020/01/26 by Yun Fan, Fan, Yun, Liren Lin +1 · 1 citation
Computer Science · #Coding theory and cryptography #Cooperative Communication and Network Coding #Error Correcting Code Techniques #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2001.09402
openalex publication_date 2020/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bazzi and Mitter [3] showed that binary dihedral group codes are asymptotically good. In this paper we prove that the dihedral group codes over any finite field with good mathematical properties are asymptotically good. If the characteristic of the field is even, we construct asymptotically good self-dual dihedral group codes. If the characteristic of the filed is odd, we construct both the asymptotically good self-orthogonal dihedral group codes, and the asymptotically good LCD dihedral group codes.