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

Authors:
Xiangyong Zeng;Lei Hu;Wenfeng Jiang;Qin Yue;Xiwang Cao
Affiliations:
Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China and The State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100 ...;The State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China and The Key Laboratory of Mathematics Mechanization, Institute of System Sci ...;The State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China;Department of Mathematics, School of Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Department of Mathematics, School of Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Venue:
Finite Fields and Their Applications
Year:
2010

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Abstract

For an odd prime p and two positive integers n=3 and k with ngcd(n,k) being odd, the paper determines the weight distribution of a class of p-ary cyclic codes C over F"p with nonzeros @a^-^1, @a^-^(^p^^^k^+^1^) and @a^-^(^p^^^3^^^k^+^1^), where @a is a primitive element of F"p"^"n.