1 citations · 1 across the 4 of their papers we have counts for
8 papers
Reciprocal polynomials and curves with many points over a finite field
Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos
Let be the finite field with elements. We provide a simple and effective method, using reciprocal polynomials, for the construction of algebraic curves over…
Locally recoverable codes from automorphism groups of function fields of genus
Daniele Bartoli, Maria Montanucci, Luciane Quoos
A Locally Recoverable Code is a code such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other coordinates. When we hav…
Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms
Daniele Bartoli, Luciane Quoos, Zülfükar Saygı +1
In this work we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin-Schreier type and the construction is clos…
Pure gaps on curves with many rational places
Daniele Bartoli, Ariane M. Masuda, Maria Montanucci +1
We consider the algebraic curve defined by where and is a rational function over . We extend the concept of pure gap to {\bf c}-gap and…
Permutation polynomials over from rational functions
Daniele Bartoli, Ariane M. Masuda, Luciane Quoos
Let denote the set of -th roots of unity in . We construct permutation polynomials over by using rational functions of any de…
On the difference between permutation polynomials over finite fields
Nurdagül Anbar, Almasa Oduzak, Vandita Patel +3
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that if , then there is no complete mapping polynomial in $\Fp[x]$ of degree $d…