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Optimal Ternary Constant-Composition Codes with Weight Four and Distance Six

2014/09/22 by Hengjia Wei, Hui Zhang, Hengjia, Wei +5
Computer Science · Engineering · #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1409.6092

openalex publication_date 2014/09/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

The sizes of optimal constant-composition codes of weight three have been determined by Chee, Ge and Ling with four cases in doubt. Group divisible codes played an important role in their constructions. In this paper, we study the problem of constructing optimal ternary constant-composition codes with Hamming weight four and minimum distance six. The problem is solved with a small number of lengths undetermined. The previously known results are those with code length no greater than 10.

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