Sequences of irreducible polynomials without prescribed coefficients over odd prime fields-Reference-Cited by-同舟云学术

Sequences of irreducible polynomials without prescribed coefficients over odd prime fields

Published:2013-11-24 Issue:1 Volume:75 Page:145-155
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Ugolini S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/s10623-013-9897-1.pdf

Reference15 articles.

1. Chou W., Shparlinski I.: On the cycle structure of repeated exponentiation modulo a prime. J. Number Theory 107(2), 345–356 (2004).

2. Chu W.M.: Construction of irreducible polynomials using cubic transformation. Appl. Algebra Eng. Commun. Comput. 7(1), 15–19 (1996).

3. Cohen S.D.: The explicit construction of irreducible polynomials over finite fields. Des. Codes Cryptogr. 2(2), 169–174 (1992).

4. Garefalakis T.: On the action of $$GL_2 ({ F}_q)$$ G L 2 ( F q ) on irreducible polynomials over $${ F}_q$$ F q . J. Pure Appl. Algebra 215(8), 1835–1843 (2011).

5. Kyuregyan M.K.: Recurrent methods for constructing irreducible polynomials over $${ F}_q$$ F q of odd characteristics. Finite Fields Appl. 9(1), 39–58 (2003).

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1. On the construction of irreducible polynomials over finite fields via odd prime degree endomorphisms of elliptic curves;Periodica Mathematica Hungarica;2017-08-30

2. On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan;Czechoslovak Mathematical Journal;2016-03