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The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code

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1 Author(s)
Moisio, M.J. ; Dept. of Math. & Stat., Vaasa Univ.

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

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Information Theory, IEEE Transactions on  (Volume:53 ,  Issue: 2 )