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A note on the distinctness of some Kloosterman sums

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The Fischer result about distinctness of the Kloosterman sums on F ∗ p is extended for the finite fields of degrees of extension that are powers of 2. To obtain… Click to show full abstract

The Fischer result about distinctness of the Kloosterman sums on F ∗ p is extended for the finite fields of degrees of extension that are powers of 2. To obtain the desired outcome, we give an elementary proof of the fact that there does not exist a pair of Kloosterman sums on same odd characteristic fields which are opposite to each other.

Keywords: note distinctness; kloosterman; kloosterman sums; distinctness kloosterman

Journal Title: Cryptography and Communications
Year Published: 2020

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