The Weight Distribution of a Class of  p ‐Ary Cyclic Codes with Few Weights | Zendy

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The Weight Distribution of a Class of p ‐Ary Cyclic Codes with Few Weights

Author(s) -

Liu Li,

Xie Xianhong

Publication year - 2020

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.2020.05.018

Subject(s) - dual polyhedron , weight distribution , class (philosophy) , mathematics , combinatorics , distribution (mathematics) , discrete mathematics , computer science , physics , mathematical analysis , artificial intelligence , thermodynamics

In this paper, we investigate a class of p ‐ary cyclic codes whose duals have two zeros for some special cases and calculate their weight distributions explicitly. The results show that the codes have at most five nonzero weights. Moreover, they contain some optimal three‐weight codes meeting the Griesmer bound.

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