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math.NT2019
Permutation Polynomials with Carlitz Rank 2
Fabio Enrique Brochero Martínez, José Alves Oliveira
Let denote the finite field with elements. The Carlitz rank of a permutation polynomial is a important measure of complexity of the polynomial. In this paper we…
math.NT2019
Permutation Binomials over Finite Fields
José Alves Oliveira, F. E. Brochero Martínez
Let denote the finite field with elements. In this paper we use the relationship between suitable polynomials and number of rational points on algebraic curves to…
math.NT2019★ 1 cited
Factorization of composed polynomials and applications
F. E. Brochero Martínez, Lucas Reis, Lays Silva
Let be the finite field with elements, where is a prime power and be a positive integer. In this paper, we explore the factorization of over $…