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Title: The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3
Authors: Sin, Changhyon
Keywords: Kloosterman Sums
Exponential Sum
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 5, No 1, (2011), 1p-14p
Abstract: Recently Garashuk and Lisonek evaluated Kloosterman sums K (a) modulo 4 over a finite field F3m in the case of even K (a). They posed it as an open problem to characterize elements a in F3m for which K (a) ≡ 1 (mod4) and K (a) ≡ 3 (mod4). In this paper, we will give an answer to this problem. The result allows us to count the number of elements a in F3m belonging to each of these two classes.
ISSN: 1312-6555
Appears in Collections:Volume 5 Number 1

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