Variations of the primitive normal basis theorem. Zbl 1410.12006
Kapetanakis, Giorgos; Reis, Lucas |
|
2019
|
Existence of primitive 1-normal elements in finite fields. Zbl 1421.11101
Reis, Lucas; Thomson, David |
|
2018
|
Existence results on \(k\)-normal elements over finite fields. Zbl 1414.12006
Reis, Lucas |
|
2019
|
The functional graph of linear maps over finite fields and applications. Zbl 1428.12004
Panario, Daniel; Reis, Lucas |
|
2019
|
Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\). Zbl 1351.11079
Brochero Martínez, F. E.; Reis, Lucas |
|
2016
|
The action of \(\mathrm{GL}_2(\mathbb{F}_q)\) on irreducible polynomials over \(\mathbb{F}_q\), revisited. Zbl 1379.12003
Reis, Lucas |
|
2018
|
Factoring polynomials of the form \(f(x^n) \in \mathbb{F}_q [x]\). Zbl 1374.12001
Brochero Martínez, F. E.; Reis, Lucas |
|
2018
|
Construction of irreducible polynomials through rational transformations. Zbl 1432.11176
Panario, Daniel; Reis, Lucas; Wang, Qiang |
|
2020
|
Factorization of composed polynomials and applications. Zbl 1421.11094
Brochero-Martínez, F. E.; Reis, Lucas; Silva-Jesus, Lays |
|
2019
|
Dynamics of the \(a\)-map over residually finite Dedekind domains and applications. Zbl 1444.37094
Qureshi, Claudio; Reis, Lucas |
|
2019
|
The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness. Zbl 1515.11062
Cohen, Stephen D.; Kapetanakis, Giorgos; Reis, Lucas |
|
2022
|
Nilpotent linearized polynomials over finite fields and applications. Zbl 1400.12003
Reis, Lucas |
|
2018
|
Counting solutions of special linear equations over finite fields. Zbl 1464.11135
Reis, Lucas |
|
2020
|
Factorization of a class of composed polynomials. Zbl 1410.12007
Reis, Lucas |
|
2019
|
On the factorization of iterated polynomials. Zbl 1473.12001
Reis, Lucas |
|
2020
|
Character sums over affine spaces and applications. Zbl 1508.11115
Reis, Lucas |
|
2022
|
Mean value theorems for a class of density-like arithmetic functions. Zbl 1469.11383
Reis, Lucas |
|
2021
|
On polynomials \(x^n-1\) over binary fields whose irreducible factors are binomials and trinomials. Zbl 1500.11089
Oliveira, Daniela; Reis, Lucas |
|
2021
|
Arithmetic constraints of polynomial maps through discrete logarithms. Zbl 1472.11305
Reis, Lucas |
|
2021
|
The additive index of polynomials over finite fields. Zbl 1486.12003
Reis, Lucas; Wang, Qiang |
|
2022
|
On the functional graph of the power map over finite groups. Zbl 1514.05075
Qureshi, Claudio; Reis, Lucas |
|
2023
|
Paley-like graphs over finite fields from vector spaces. Zbl 1512.05385
Reis, Lucas |
|
2023
|
Permutations from an arithmetic setting. Zbl 1441.05009
Reis, Lucas; Ribas, Sávio |
|
2020
|
Möbius-like maps on irreducible polynomials and rational transformations. Zbl 1455.11163
Reis, Lucas |
|
2020
|
On primitive elements of finite fields avoiding affine hyperplanes. Zbl 1490.11118
Fernandes, Arthur; Reis, Lucas |
|
2021
|
On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\). Zbl 1409.11121
Brochero Martínez, F. E.; Garefalakis, Theodoulos; Reis, Lucas; Tzanaki, Eleni |
|
2017
|
On the functional graph of the power map over finite groups. Zbl 1514.05075
Qureshi, Claudio; Reis, Lucas |
|
2023
|
Paley-like graphs over finite fields from vector spaces. Zbl 1512.05385
Reis, Lucas |
|
2023
|
The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness. Zbl 1515.11062
Cohen, Stephen D.; Kapetanakis, Giorgos; Reis, Lucas |
|
2022
|
Character sums over affine spaces and applications. Zbl 1508.11115
Reis, Lucas |
|
2022
|
The additive index of polynomials over finite fields. Zbl 1486.12003
Reis, Lucas; Wang, Qiang |
|
2022
|
Mean value theorems for a class of density-like arithmetic functions. Zbl 1469.11383
Reis, Lucas |
|
2021
|
On polynomials \(x^n-1\) over binary fields whose irreducible factors are binomials and trinomials. Zbl 1500.11089
Oliveira, Daniela; Reis, Lucas |
|
2021
|
Arithmetic constraints of polynomial maps through discrete logarithms. Zbl 1472.11305
Reis, Lucas |
|
2021
|
On primitive elements of finite fields avoiding affine hyperplanes. Zbl 1490.11118
Fernandes, Arthur; Reis, Lucas |
|
2021
|
Construction of irreducible polynomials through rational transformations. Zbl 1432.11176
Panario, Daniel; Reis, Lucas; Wang, Qiang |
|
2020
|
Counting solutions of special linear equations over finite fields. Zbl 1464.11135
Reis, Lucas |
|
2020
|
On the factorization of iterated polynomials. Zbl 1473.12001
Reis, Lucas |
|
2020
|
Permutations from an arithmetic setting. Zbl 1441.05009
Reis, Lucas; Ribas, Sávio |
|
2020
|
Möbius-like maps on irreducible polynomials and rational transformations. Zbl 1455.11163
Reis, Lucas |
|
2020
|
Variations of the primitive normal basis theorem. Zbl 1410.12006
Kapetanakis, Giorgos; Reis, Lucas |
|
2019
|
Existence results on \(k\)-normal elements over finite fields. Zbl 1414.12006
Reis, Lucas |
|
2019
|
The functional graph of linear maps over finite fields and applications. Zbl 1428.12004
Panario, Daniel; Reis, Lucas |
|
2019
|
Factorization of composed polynomials and applications. Zbl 1421.11094
Brochero-Martínez, F. E.; Reis, Lucas; Silva-Jesus, Lays |
|
2019
|
Dynamics of the \(a\)-map over residually finite Dedekind domains and applications. Zbl 1444.37094
Qureshi, Claudio; Reis, Lucas |
|
2019
|
Factorization of a class of composed polynomials. Zbl 1410.12007
Reis, Lucas |
|
2019
|
Existence of primitive 1-normal elements in finite fields. Zbl 1421.11101
Reis, Lucas; Thomson, David |
|
2018
|
The action of \(\mathrm{GL}_2(\mathbb{F}_q)\) on irreducible polynomials over \(\mathbb{F}_q\), revisited. Zbl 1379.12003
Reis, Lucas |
|
2018
|
Factoring polynomials of the form \(f(x^n) \in \mathbb{F}_q [x]\). Zbl 1374.12001
Brochero Martínez, F. E.; Reis, Lucas |
|
2018
|
Nilpotent linearized polynomials over finite fields and applications. Zbl 1400.12003
Reis, Lucas |
|
2018
|
On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\). Zbl 1409.11121
Brochero Martínez, F. E.; Garefalakis, Theodoulos; Reis, Lucas; Tzanaki, Eleni |
|
2017
|
Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\). Zbl 1351.11079
Brochero Martínez, F. E.; Reis, Lucas |
|
2016
|
