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The weight distributions of some cyclic codes with three or four nonzeros over F3

2013/02/02 by Xiaogang Liu, Yuan Luo, Liu, Xiaogang +1
Computer Science · Engineering · Mathematics · #68P30 (Primary) #Advanced Wireless Communication Techniques #Coding theory and cryptography #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT #msc:68P30

paper · pdf · doi:10.48550/arxiv.1302.0394

22 pages, 3 tables

arxiv created 2013/02/02 · openalex publication_date 2013/02/02 · arxiv updated 2013/02/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Because of efficient encoding and decoding algorithms, cyclic codes are an important family of linear block codes, and have applications in communica- tion and storage systems. However, their weight distributions are known only for a few cases mainly on the codes with one or two nonzeros. In this paper, the weight distributions of two classes of cyclic codes with three or four nonzeros are determined.

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