Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions

被引:1
|
作者
Fan Jinmei [1 ,2 ]
Zhang Yanhai [1 ]
Shi Xiubo [1 ]
机构
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
[2] Hubei Univ, Fac Math & Stat, Wuhan 430062, Hubei, Peoples R China
关键词
Cyclic codes; Exponential sum; Sequence family; Value distribution; Weight distribution; Correlation distribution; CROSS-CORRELATION; DISTRIBUTIONS;
D O I
10.1049/cje.2018.06.012
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The value distribution of an exponential sum based on a class of Niho exponents is determined. As applications, we also completely determine the weight distribution of a class of four-weight cyclic codes and the correlation distribution among sequences in a sequence family, which extend some known results.
引用
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页码:288 / 293
页数:6
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