Open AccessThe 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) - weight distribution , class (philosophy) , mathematics , distribution (mathematics) , combinatorics , computer science , physics , artificial intelligence , mathematical analysis , 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.