Factorization of Dickson polynomials over finite fields

2021 ◽  
Author(s):  
Nelcy Esperanza Arévalo Baquero ◽  
Fabio Enrique Brochero Martinez
Keyword(s):  
Finite Fields ◽  
Dickson Polynomials ◽  
Polynomials Over Finite Fields

scholarly journals Factors of Dickson polynomials over finite fields

2005 ◽  
Vol 11 (4) ◽  
pp. 724-737 ◽  
Author(s):  
Robert W. Fitzgerald ◽  
Joseph L. Yucas
Keyword(s):  
Finite Fields ◽  
Dickson Polynomials ◽  
Polynomials Over Finite Fields

scholarly journals Value sets of Dickson polynomials over finite fields

1988 ◽  
Vol 30 (3) ◽  
pp. 334-344 ◽  
Author(s):  
Wun-Seng Chou ◽  
Javier Gomez-Calderon ◽  
Gary L. Mullen
Keyword(s):  
Finite Fields ◽  
Dickson Polynomials ◽  
Polynomials Over Finite Fields ◽  
Value Sets

Dickson Polynomials Over Finite Fields and Complete Mappings

1987 ◽  
Vol 30 (1) ◽  
pp. 19-27 ◽  
Author(s):  
Gary L. Mullen ◽  
Harald Niederreiter
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Permutation Polynomials ◽  
Dickson Polynomials ◽  
Complete Mapping ◽  
Dickson Polynomial ◽  
Special Cases ◽  
Polynomials Over Finite Fields ◽  
Complete Mappings ◽  
Special Case

AbstractDickson polynomials over finite fields are familiar examples of permutation polynomials, i.e. of polynomials for which the corresponding polynomial mapping is a permutation of the finite field. We prove that a Dickson polynomial can be a complete mapping polynomial only in some special cases. Complete mapping polynomials are of interest in combinatorics and are defined as polynomials f(x) over a finite field for which both f(x) and f(x) + x are permutation polynomials. Our result also verifies a special case of a conjecture of Chowla and Zassenhaus on permutation polynomials.

scholarly journals Factoring Dickson Polynomials over Finite Fields

1999 ◽  
Vol 5 (2) ◽  
pp. 103-111 ◽  
Author(s):  
Manjul Bhargava ◽  
Michael E. Zieve
Keyword(s):  
Finite Fields ◽  
Dickson Polynomials ◽  
Polynomials Over Finite Fields
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