New Estimates and Existence Results About Irreducible Polynomials and Self-Reciprocal Irreducible Polynomials with Prescribed Coefficients Over a Finite Field
Author:
Funder
Carleton University
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s44007-023-00062-1.pdf
Reference18 articles.
1. Carlitz, L.: Some theorems on irreducible reciprocal polynomials over a finite field. J. Reine Angew. Math. 227, 212–220 (1967)
2. Cohen, S.D.: On irreducible polynomials of certain types in finite fields. Proc. Camb. Philos. Soc. 66, 335–344 (1969)
3. Cohen, S.D.: Explicit theorems on generator polynomials. Finite Fields Appl. 11, 337–357 (2005)
4. Effinger, G.W., Hayes, D.R.: Additive Number Theory of Polynomials over a Finite Field, Oxford Mathematical Monographs. Oxford University Press, Oxford (1991)
5. Z.C. Gao, Improved error bounds for the number of irreducible polynomials and self-reciprocal irreducible monic polynomials with prescribed coefficients over a finite field, Proceedings of The 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Philadelphia (2022)
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