On the Number of Solutions of Diagonal Equations over a Finite Field

Authors: Sun Q.; Yuan P.Z.

Source: Finite Fields and Their Applications, Volume 2, Number 1, January 1996 , pp. 35-41(7)

Publisher: Academic Press

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Abstract:

In this paper, we give a reduction theorem for the number of solutions of any diagonal equation over a finite field. Using this reduction theorem and the theory of quadratic equations over a finite field, we also get an explicit formula for the number of solutions of a diagonal equation over a finite field, under a certain natural restriction on the exponents.

Language: English

Document Type: Research article

Affiliations: Sichuan University, Chengdu, 610064, People's Republic of China:

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