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.
               
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