2017/06/23 by Pınar Çomak, Jon-Lark Kim, Çomak, Pınar +3
Computer Science · Engineering · Mathematics · #11T71 #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #Number Theory (math.NT) #cs.IT #graph theory and CDMA systems #math.IT #math.NT #msc:11T71
paper · pdf · doi:10.48550/arxiv.1706.07631
8 pages
arxiv created 2017/06/23 · openalex publication_date 2017/06/23 · arxiv updated 2017/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length 3ℓ with the algebraic approach of [9]. In particular, we improve the previous results by constructing 1 new binary [54, 27, 10], 6 new [60, 30, 12] and 50 new [66, 33, 12] cubic self-dual codes. We conjecture that there exist no more binary cubic self-dual codes with length 54, 60 and 66.