Open AccessThree Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals
Author(s) -
Li Lanqiang,
Zhu Shixin,
Liu Li
Publication year - 2019
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2019.04.001
Subject(s) - dual polyhedron , construct (python library) , ternary operation , decoding methods , encoding (memory) , weight distribution , mathematics , upper and lower bounds , subclass , binary number , discrete mathematics , combinatorics , computer science , algorithm , arithmetic , physics , computer network , programming language , mathematical analysis , artificial intelligence , biology , antibody , immunology , thermodynamics
Cyclic codes as a subclass of linear codes have wide applications in communication systems, consumer electronics and data storage systems, due to their efficient encoding and decoding algorithms. We construct three classes of optimal ternary cyclic codes, which meet some certain bound. The weight distributions of their duals are also completely determined. The results show that their duals have few nonzero weights.