The functional graph of linear maps over finite fields and applications-Reference-Cited by-同舟云学术

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The functional graph of linear maps over finite fields and applications

Published:2018-09-03 Issue:2-3 Volume:87 Page:437-453
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Panario Daniel,Reis Lucas

Funder

Natural Sciences and Engineering Research Council of Canada

CAPES-PDS

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/article/10.1007/s10623-018-0547-5/fulltext.html

Reference21 articles.

1. Blum L., Blum M., Shub M.: A simple unpredictable pseudo-random number generator. SIAM J. Comput. 15(2), 364–383 (1986).

2. Charpin P., Mesnager S., Sarkar S.: Dickson polynomials that are involutions. In: Canteaut A., Effinger G., Huczynska S., Panario D., Storme L. (eds.) Contemporary Developments in Finite Fields and Applications, pp. 22–47. World Scientific, Singapore (2016).

3. Charpin P., Mesnager S., Sarkar S.: Involutions over the Galois field $${\mathbb{F}}_{2^n}$$ F 2 n . IEEE Trans. Inf. Theory 62, 2266–2276 (2016).

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

5. Gassert T.: Chebyshev action on finite fields. Discret. Math. 315, 83–94 (2014).

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Digraphs of power maps over finite nilpotent groups;Discrete Mathematics;2024-07

2. Dynamics of polynomial maps over finite fields;Designs, Codes and Cryptography;2023-11-30

3. On the functional graph of the power map over finite groups;Discrete Mathematics;2023-07

4. On the functional graph of f(X)=c(X+1 + aX2) over quadratic extensions of finite fields;Finite Fields and Their Applications;2023-06

5. Rédei permutations with the same cycle structure;Finite Fields and Their Applications;2022-08

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