11 citations · 17 across the 13 of their papers we have counts for
15 papers
An algebraic approach to Latin squares of prime power order by local permutation polynomials
Raúl M. Falcón, Jaime Gutiérrez, Jorge Jiménez Urroz
Every Latin square of prime power order is uniquely described by a local permutation polynomial (LPP) in the polynomial ring . Despite this equivalence, one…
Permutation and local permutation polynomial of maximum degree
Jaime Gutierrez, Jorge Jimenez Urroz
Let be the finite field with elements and the ring of polynomials in variables over . In this paper we consider permutation polynomials an…
Local permutation polynomials and the action of e-Klenian groups
Jaime Gutierrez, Jorge Jimenez Urroz
Permutation polynomials of finite fields have many applications in Coding Theory, Cryptography and Combinatorics. In the first part of this paper we present a new family of local p…
On some classes of irreducible polynomials
Jaime Gutierrez, Jorge Jimenez Urroz
The aim of the paper is to produce new families of irreducible polynomials, generalizing previous results in the area. One example of our general result is that for a near-separate…
Weighted greatest common divisors and weighted heights
Lubjana Beshaj, Jaime Gutierrez, Tony Shaska
We introduce the weighted greatest common divisor of a tuple of integers and explore some of it basic properties. Furthermore, for a set of heights $\mathfrak w=(q_0, \ldots , q_n)…
The MMO problem
Oscar Garcia-Morchon, Ronald Rietman, Ludo Tolhuizen +2
We consider a two polynomials analogue of the polynomial interpolation problem. Namely, we consider the Mixing Modular Operations (MMO) problem of recovering two polynomials $f\in…