Article ID Journal Published Year Pages File Type
4582684 Finite Fields and Their Applications 2016 31 Pages PDF
Abstract

We determine the zeta functions of trinomial curves in terms of Jacobi sums, and obtain an explicit formula of the genus of a trinomial curve over a finite field, and we study the conditions for this curve to be a maximal curve over a finite field.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Zeta functions of trinomial curves and maximal curves
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