A Class of Binary Cyclic Codes with Four Weights

Rong LUO; Long WEI; Feng CHENG; Xiaoni DU

doi:10.1587/transfun.E100.A.965

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Special Section on Signal Design and Its Applications in Communications

A Class of Binary Cyclic Codes with Four Weights

Rong LUO, Long WEI, Feng CHENG, Xiaoni DU

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Keywords: linear code, cyclic code, few-weight code, Hamming weights, Gaussian period

JOURNAL RESTRICTED ACCESS

2017 Volume E100.A Issue 4 Pages 965-968

DOI https://doi.org/10.1587/transfun.E100.A.965

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Abstract

Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this letter, a class of four-weight binary cyclic codes are presented. Their weight distributions of these cyclic codes are also settled.

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