KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | FINITE FIELDS AND THEIR APPLICATIONS
 |
| ISSN | 1071-5797 |
| Volume | 16Issue:1Pages:56-73 |
| Abstract | 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. |
| Keyword | Cyclic code Exponential sum Quadratic form Weight distribution Linearized polynomial |
| DOI | 10.1016/j.ffa.2009.12.001 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000274323300006 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/10877 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zeng, Xiangyong |
| Affiliation | 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 |
| 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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