Lucas Reis

Orcid: 0000-0002-6224-9712

According to our database1, Lucas Reis authored at least 30 papers between 2016 and 2025.

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Bibliography

2025
Stable binomials over finite fields.
Finite Fields Their Appl., 2025

2024
Constructing permutation polynomials from permutation polynomials of subfields.
Finite Fields Their Appl., 2024

Nilpotent linearized polynomials over finite fields, revisited.
Finite Fields Their Appl., 2024

Digraphs of power maps over finite nilpotent groups.
Discret. Math., 2024

Unveiling Product Manager's journey in software development: preliminary findings.
Proceedings of the 38th Brazilian Symposium on Software Engineering, 2024

2023
The average density of K-normal elements over finite fields.
Des. Codes Cryptogr., October, 2023

On the functional graph of the power map over finite groups.
Discret. Math., July, 2023

Paley-like graphs over finite fields from vector spaces.
Finite Fields Their Appl., June, 2023

Heterogeneous reconfigurable architectures for machine learning dataflows.
Concurr. Comput. Pract. Exp., 2023

2022
The additive index of polynomials over finite fields.
Finite Fields Their Appl., 2022

Character sums over affine spaces and applications.
Finite Fields Their Appl., 2022

2021
You Only Traverse Twice: A YOTT Placement, Routing, and Timing Approach for CGRAs.
ACM Trans. Embed. Comput. Syst., 2021

On polynomials <i>x</i><sup><i>n</i></sup> - 1 over binary fields whose irreducible factors are binomials and trinomials.
Finite Fields Their Appl., 2021

On primitive elements of finite fields avoiding affine hyperplanes.
Finite Fields Their Appl., 2021

Functional Approximation and Approximate Parallelization with the ACCEPT compiler.
Proceedings of the 33rd IEEE International Symposium on Computer Architecture and High Performance Computing, 2021

2020
The dynamics of permutations on irreducible polynomials.
Finite Fields Their Appl., 2020

Counting solutions of special linear equations over finite fields.
Finite Fields Their Appl., 2020

On the existence and number of invariant polynomials.
Finite Fields Their Appl., 2020

Permutations from an arithmetic setting.
Discret. Math., 2020

A Design Exploration of Scalable Mesh-based Fully Pipelined Accelerators.
Proceedings of the International Conference on Field-Programmable Technology, 2020

2019
Factorization of composed polynomials and applications.
Discret. Math., 2019

Factorization of a class of composed polynomials.
Des. Codes Cryptogr., 2019

The functional graph of linear maps over finite fields and applications.
Des. Codes Cryptogr., 2019

Variations of the Primitive Normal Basis Theorem.
Des. Codes Cryptogr., 2019

2018
Existence of primitive 1-normal elements in finite fields.
Finite Fields Their Appl., 2018

A group action on multivariate polynomials over finite fields.
Finite Fields Their Appl., 2018

Nilpotent linearized polynomials over finite fields and applications.
Finite Fields Their Appl., 2018

Factoring polynomials of the form.
Finite Fields Their Appl., 2018

2017
On the multiplicative order of the roots of bX<sup>q<sup>r</sup>+1</sup> - aX<sup>q<sup>r</sup></sup> - dX - c.
Finite Fields Their Appl., 2017

2016
Elements of high order in Artin-Schreier extensions of finite fields F<sub>q</sub>.
Finite Fields Their Appl., 2016


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