Rational functions of Degree Four that Permute the Projective Line over a Finite Field
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In this paper, the rational functions of degree three that permute the projective line P1(Fq) over a finite field Fq were determined by Ferraguti and Micheli.Abstract:
Recently, rational functions of degree three that permute the projective line P1(Fq) over a finite field Fq were determined by Ferraguti and Micheli. In the present paper, using a different method,...read more
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References
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Book
Algebraic Function Fields and Codes
TL;DR: This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded and contains numerous exercises that help the reader to understand the basic material.
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The Analytic Representation of Substitutions on a Power of a Prime Number of Letters with a Discussion of the Linear Group.
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Permutation polynomials and orthomorphism polynomials of degree six
TL;DR: Using Dickson's classification, a family of permutation polynomials from Dicksonʼs list provides counterexamples to a published conjecture of Mullen, and is determined to be the complete list of degree 6 orthomorphism polynmials.