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math.NT2026
Note on the Equivalence of Costas Polynomials and Orthomorphisms
Amela Muratović-Ribić, Aleksandar Balašev-Samarski
We establish an equivalence between the existence of Costas polynomials and the existence of a special kind of orthomorphism such that their compositions are also orthomorphisms. C…
math.NT2015
On coefficients of powers of polynomials and their compositions over finite fields
Gary L. Mullen, Amela Muratović-Ribić, Qiang Wang
For any given polynomial over the finite field with degree at most , we associate it with a matrix consisting of coefficients of…