The weight distributions of a class of non-primitive cyclic codes with two nonzeros

Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the nonzeros. In this paper, by evaluating certain Jacobi sums, we determine the weight d...

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Bibliographic Details
Published in:Science China. Mathematics 2015-06, Vol.58 (6), p.1285-1296
Main Authors: Zheng, DaBin, Zhou, FengLi, Hu, Lei, Zeng, XiangYong
Format: Article
Language:English
Subjects:
Applications of Mathematics
China
Mathematical analysis
Mathematics
Mathematics and Statistics
Sums
关键参数
循环码
研究人员
重分布
重量分布
雅可比
非本原
非零元素
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Summary:Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the nonzeros. In this paper, by evaluating certain Jacobi sums, we determine the weight distributions of this class of cyclic codes for one more special case.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-014-4888-x