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SOME NEW CLASSES OF CYCLIC CODES WITH THREE OR SIX WEIGHTS
被引:2
|作者:
Xia, Yongbo
[1
]
Helleseth, Tor
[2
]
Li, Chunlei
[3
]
机构:
[1] South Central Univ Natl, Dept Math & Stat, Wuhan 430074, Peoples R China
[2] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
[3] Univ Stavanger, Dept Elect Engn & Comp Sci, CIPSI, N-4036 Stavanger, Norway
基金:
中国国家自然科学基金;
关键词:
Cyclic code;
weight distribution;
exponential sum;
quadratic form;
CROSS-CORRELATION;
DISTRIBUTIONS;
SEQUENCES;
D O I:
10.3934/amc.2015.9.23
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
In this paper, a class of three-weight cyclic codes over prime fields IF 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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页码:23 / 36
页数:14
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