On classical Kloosterman sums

Zinoviev, V. A.

doi:10.1007/s12095-019-00357-7

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2020

2023

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Cited by 6 publications

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“…It is deserved mentioning that there are other explicit expressions of this kind [7] (in particular, by using the Dickson polynomials [8]).…”

Section: Preliminariesmentioning

confidence: 99%

Computing the number of finite field elements with prescribed absolute trace and co-trace

Bojilov

Borissov

2018

Cryptogr. Commun.

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In this paper, we address the problem for determining the number of finite field elements with prescribed trace and co-trace in case of arbitrary characteristic p. We show that this problem can be reduced to solving a system of p − 1 linear equations with matrix of coefficients a slight modification of circulant matrix formed by the Kloosterman sums over the field Fp. The presented approach is illustrated in the cases of characteristic p = 2, 3 and 5.

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“…It is deserved mentioning that there are other explicit expressions of this kind [7] (in particular, by using the Dickson polynomials [8]).…”

Section: Preliminariesmentioning

confidence: 99%