Hasse-Davenport Curves, Gauss Sums, and Weight Distributions of Irreducible Cyclic Codes

Hasse-Davenport Curves, Gauss Sums, and Weight Distributions of Irreducible Cyclic Codes
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DOI:
10.1006/jnth.1995.1133
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发表时间:
1995-12
影响因子:
0.7
通讯作者:
M. Vlugt
M. Vlugt
中科院分区:
数学3区
文献类型:
--
作者:
M. Vlugt

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摘要循环代码的重量分布与Hasse-Davenport曲线家族中理性点数量的分布密切相关。从这种关系开始,我们计算某些不可还原循环代码的重量分布。
Abstract The weight distribution of irreducible cyclic codes is closely related to the distribution of the number of rational points in a family of Hasse-Davenport curves. Starting from this relation we compute the weight distribution of certain irreducible cyclic codes.