The weight distribution of a class of p-ary cyclic codes

doi:10.1016/j.ffa.2009.12.001

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	The weight distribution of a class of p-ary cyclic codes
	Zeng, Xiangyong 1,2; Hu, Lei 2,3; Jiang, Wenfeng 2; Yue, Qin 4; Cao, Xiwang 4
	2010
发表期刊	FINITE FIELDS AND THEIR APPLICATIONS
ISSN	1071-5797
卷号	16 期号:1 页码:56-73
摘要	For an odd prime p and two positive integers n >= 3 and k with n/gcd(n,k) being odd, the paper determines the weight distribution of a class of p-ary cyclic codes C over F-p with nonzeros alpha(-1), alpha(-(pk + 1)) and alpha(-(p3k + 1)), where alpha is a primitive element of F-pn. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Cyclic code Exponential sum Quadratic form Weight distribution Linearized polynomial
DOI	10.1016/j.ffa.2009.12.001
语种	英语
资助项目	National Natural Science Foundation of China[60773134] ; National Natural Science Foundation of China[60973130] ; National Natural Science Foundation of China[10990011] ; National Basic Research (973) Program of China[2007CB311201] ; Chenguang plan of Wuhan City[200850731340]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274323300006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10877
专题	中国科学院数学与系统科学研究院
通讯作者	Zeng, Xiangyong
作者单位	1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 4.Nanjing Univ Aeronaut & Astronaut, Sch Sci, Dept Math, Nanjing 210016, Peoples R China
推荐引用方式 GB/T 7714	Zeng, Xiangyong,Hu, Lei,Jiang, Wenfeng,et al. The weight distribution of a class of p-ary cyclic codes[J]. FINITE FIELDS AND THEIR APPLICATIONS,2010,16(1):56-73.
APA	Zeng, Xiangyong,Hu, Lei,Jiang, Wenfeng,Yue, Qin,&Cao, Xiwang.(2010).The weight distribution of a class of p-ary cyclic codes.FINITE FIELDS AND THEIR APPLICATIONS,16(1),56-73.
MLA	Zeng, Xiangyong,et al."The weight distribution of a class of p-ary cyclic codes".FINITE FIELDS AND THEIR APPLICATIONS 16.1(2010):56-73.