Quasi-cyclic self-dual codes of length 70

2017/04/05 by Alexandre Zhdanov, Zhdanov, Alexandre
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT) #cs.IT #graph theory and CDMA systems #math.IT

paper · pdf · doi:10.48550/arxiv.1704.01512

arxiv created 2017/04/05 · openalex publication_date 2017/04/05 · arxiv updated 2017/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain a number of [70,35,12] singly even self-dual codes as a quasi-cyclic codes with m=2 (tailbitting convolutional codes). One of them is the first known code with parameters Beta=140 Gamma=0. All codes are not pure double circulant i.e. could not be represented in systematic form.

Citations

• A new upper bound on the minimal distance of self-dual codes
• Shadow bounds for self-dual codes

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