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Functional graphs of polynomials over finite fields

  • Published:2016-01 Issue: Volume:116 Page:87-122
  • ISSN:0095-8956
  • Container-title:Journal of Combinatorial Theory, Series B
  • language:en
  • Short-container-title:Journal of Combinatorial Theory, Series B

Author:

Konyagin Sergei V.,Luca Florian,Mans Bernard,Mathieson Luke,Sha Min,Shparlinski Igor E.

Funder

Russian Fund for Basic Research

Program Supporting Leading Scientific Schools

Marcos Moshinsky fellowship

Australian Research Council

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference38 articles.

1. Toward a theory of Pollard's rho method;Bach;Inform. and Comput.,1991

2. On the number of distinct functional graphs of affine-linear transformations over finite fields;Bach;Linear Algebra Appl.,2013

3. Periods of rational maps modulo primes;Benedetto;Math. Ann.,2013

4. Modern Computer Arithmetic;Brent,2010

5. On the cycle structure of repeated exponentiation modulo a prime;Chou;J. Number Theory,2004

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1. On the deepest cycle of a random mapping;Journal of Combinatorial Theory, Series A;2024-08

2. Functional graphs of families of quadratic polynomials;Mathematics of Computation;2023-04-04

3. Periodic points of polynomials over finite fields;Transactions of the American Mathematical Society;2022-04-21

4. Tangent-chebyshev maps over finite fields: New properties and functional graphs;Cryptography and Communications;2022-02-23

5. Markov chains on finite fields with deterministic jumps;Electronic Journal of Probability;2022-01-01
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