Weight Distribution of a Class of Cyclic Codes with Arbitrary Number of Zeros

2013/01/11 by Jing Yang, Yang, Jing, Maosheng Xiong +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #11T23 #11T71 #Coding theory and cryptography #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1301.2479

openalex publication_date 2013/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Cyclic codes have been widely used in digital communication systems and consume electronics as they have efficient encoding and decoding algorithms. The weight distribution of cyclic codes has been an important topic of study for many years. It is in general hard to determine the weight distribution of linear codes. In this paper, a class of cyclic codes with any number of zeros are described and their weight distributions are determined.

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