Release time:2025-03-31

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DOI number:10.1109/TIT.2013.2281205

Journal:IEEE Transactions on Information Theory

Key Words:Generators;Polynomials;Linear code;Educational institutions;Cryptography;Hamming weight;Cyclic codes;frequency hopping sequences;secret sharing;weight distribution;weight enumerator

Abstract:As a subclass of linear codes, cyclic codes have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, five families of three-weight ternary cyclic codes whose duals have two zeros are presented. The weight distributions of the five families of cyclic codes are settled. The duals of two families of the cyclic codes are optimal.

Co-author:Gao Ying, Zhou Zhengchun

First Author:Ding Cunsheng

Indexed by:Journal paper

Volume:59

Issue:12

Page Number:7940-7946

ISSN No.:0018-9448

Translation or Not:no

Date of Publication:2019-09-09