The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
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Kloosterman和的矩与Zetterberg型二进制循环码的权重分布
DOI：
10.1109/tit.2006.889020
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发表时间：
2007
影响因子：
2.5
通讯作者：
M. Moisio
中科院分区：
文献类型：
--
作者：
M. Moisio
在此对应关系中，我们根据二进制Zetterberg长度q+1中的权重频率给出了kloosterman和f q的矩，这是由schoof和van der vlugt的工作所知道的。通过在第十一刻的时刻给出明确的公式来说明该方法。作为推论，获得Zetterberg型二进制循环代码的重量分布
In this correspondence, we give the moments of a Kloosterman sum over Fq in terms of the frequencies of weights in the binary Zetterberg code of length q+1, which are known by the work of Schoof and van der Vlugt. The method is illustrated by giving explicit formulae for the moments up to the tenth moment. As a corollary the weight distribution of a Zetterberg-type binary cyclic code is obtained