Cyclic Codes and Sequences: The Generalized Kasami Case

被引：38
作者：
Luo, Jinquan [1 ,2 ]
Tang, Yuansheng [2 ]
Wang, Hongyu [2 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225009, Jiangsu, Peoples R China
[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2010年 / 56卷 / 05期
关键词：
Correlation distribution; cyclic code; exponential sum; sequence; weight distribution; PERFECT NONLINEAR FUNCTIONS; WEIGHT DISTRIBUTION; GAUSS SUMS; DISTRIBUTIONS;
D O I：
10.1109/TIT.2010.2043783
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the large family of generalized Kasami sequences has been studied. In particular, the cross-correlation distribution among these sequences has been explicitly calculated. Meanwhile, the weight distributions of two classes of cyclic codes could also be determined. This paper generalizes the results from several previous papers.
引用
收藏
页码：2130 / 2142
页数：13
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