Cyclic codes and sequences: the generalized Kasami case

Authors:
Jinquan Luo;Yuansheng Tang;Hongyu Wang
Affiliations:
School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu Province, China and Division of Mathematical Sciences, School of Physics and Mathematical Sciences, Nanyang Technological Un ...;School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu Province, China;School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu Province, China
Venue:
IEEE Transactions on Information Theory
Year:
2010

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Abstract

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.