Title :
The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
Author :
Moisio, Marko J.
Author_Institution :
Dept. of Math. & Stat., Vaasa Univ.
Abstract :
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
Keywords :
binary codes; cyclic codes; Kloosterman sum moments; Zetterberg-binary cyclic code; weight distribution; Codes; Frequency; Galois fields; Joining processes; Mathematics; Statistics; Cyclic code; Kloosterman sum; Pless power moments; Zetterberg code; exponential sum; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.889020
