Value Sets of Polynomials over Finite Fields

2002 ◽  
pp. 80-85 ◽  
Author(s):  
Pinaki Das ◽  
Gary L. Mullen
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

scholarly journals Value sets of polynomials over finite fields

1993 ◽  
Vol 119 (3) ◽  
pp. 711-711 ◽  
Author(s):  
Da Qing Wan ◽  
Peter Jau-Shyong Shiue ◽  
Ching Shyang Chen
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

scholarly journals Value sets of folding polynomials over finite fields

2019 ◽  
Vol 43 (3) ◽  
pp. 1407-1413
Author(s):  
Ömer KÜÇÜKSAKALLI
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

scholarly journals The factorable core of polynomials over finite fields

1990 ◽  
Vol 49 (2) ◽  
pp. 309-318 ◽  
Author(s):  
S. D. Cohen
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Algebraic Closure ◽  
Permutation Polynomials ◽  
Linearized Polynomial ◽  
Polynomials Over Finite Fields ◽  
Value Sets

AbstractFor a polynomial f(x) over a finite field Fq, denote the polynomial f(y)−f(x) by ϕf(x, y). The polynomial ϕf has frequently been used in questions on the values of f. The existence is proved here of a polynomial F over Fq of the form F = Lr, where L is an affine linearized polynomial over Fq, such that f = g(F) for some polynomial g and the part of ϕf which splits completely into linear factors over the algebraic closure of Fq is exactly φF. This illuminates an aspect of work of D. R. Hayes and Daqing Wan on the existence of permutation polynomials of even degree. Related results on value sets, including the exhibition of a class of permutation polynomials, are also mentioned.

scholarly journals Subfield value sets of polynomials over finite fields

2013 ◽  
Vol 48 (1) ◽  
pp. 147-165 ◽  
Author(s):  
Wun-Seng Chou ◽  
Javier Gomez-Calderon ◽  
Gary L. Mullen ◽  
Daniel Panario ◽  
David Thomson
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

Value Sets of Some Polynomials Over Finite Fields

1998 ◽  
Vol 27 (1) ◽  
pp. 120-131 ◽  
Author(s):  
Thomas W. Cusick
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

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

Index bounds for value sets of polynomials over finite fields

2014 ◽  
pp. 280-296
Author(s):  
Gary L. Mullen ◽  
Daqing Wan ◽  
Qiang Wang
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets

Polynomials over finite fields with minimal value sets

Mathematika ◽  
1961 ◽  
Vol 8 (2) ◽  
pp. 121-130 ◽  
Author(s):  
L. Carlitz ◽  
D. J. Lewis ◽  
W. H. Mills ◽  
E. G. Straus
Keyword(s):  
Finite Fields ◽  
Polynomials Over Finite Fields ◽  
Value Sets
Sign in / Sign up

Export Citation Format

Share Document