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Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields Cover

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

By: Leila Benferhat,  Omar Kihel,  Jesse Larone and  Rezki Ould Mohamed  
Open Access
|Mar 2023

References

  1. [1] AYAD, M.: On irreducible polynomials over Q which are reducible over 𝔽p for all p, Rocky Mountain J. Math. 40 (2010), no. 5, 1377–1389.10.1216/RMJ-2010-40-5-1377
  2. [2] BENFERHAT, L.—BENOUMHANI, S. M.—BOUMAHDI, R.— LARONE, J.: Additive decompositions of polynomials over unique factorization domains, J. Algebra Appl, 19 (2020), no. 8, 1–11.10.1142/S0219498820501509
  3. [3] BRAWLEY, J. V.—CARLITZ, L.: Irreducibles and the composed product for polynomials over a finite field, Discrete Math. 65 (1987), no. 2, 115–139.10.1016/0012-365X(87)90135-X
DOI: https://doi.org/10.2478/tmmp-2023-0001 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 1 - 10
Submitted on: Nov 8, 2022
Published on: Mar 7, 2023
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2023 Leila Benferhat, Omar Kihel, Jesse Larone, Rezki Ould Mohamed, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.