Some new classes of cyclic codes with three or six weights | Zendy

Yongbo Xia | Zendy; Tor Helleseth | Zendy; Chunlei Li | Zendy

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Some new classes of cyclic codes with three or six weights

Author(s) -

Yongbo Xia,

Tor Helleseth,

Chunlei Li

Publication year - 2015

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2015.9.23

Subject(s) - dual polyhedron , mathematics , prime (order theory) , class (philosophy) , combinatorics , weight distribution , order (exchange) , cyclic code , discrete mathematics , pure mathematics , linear code , block code , statistics , decoding methods , finance , artificial intelligence , computer science , engineering , economics , aerospace engineering

In this paper, a class of three-weight cyclic codes over prime fields $\mathbb{F}_p$ of odd order whose duals have two zeros, and a class of six-weight cyclic codes whose duals have three zeros are presented. The weight distributions of these cyclic codes are derived.

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