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The weight distribution of a class of p-ary cyclic codes
Zeng, Xiangyong1,2; Hu, Lei2,3; Jiang, Wenfeng2; Yue, Qin4; Cao, Xiwang4
2010
Source PublicationFINITE FIELDS AND THEIR APPLICATIONS
ISSN1071-5797
Volume16Issue:1Pages:56-73
AbstractFor 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.
KeywordCyclic code Exponential sum Quadratic form Weight distribution Linearized polynomial
DOI10.1016/j.ffa.2009.12.001
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000274323300006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/10877
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZeng, Xiangyong
Affiliation1.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
Recommended Citation
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.
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