On the distributions of quadratic residues and primitive roots over finite fields

2017 ◽  
Vol 54 (4) ◽  
pp. 426-435
Author(s):  
The-Anh Ta
Keyword(s):  
Finite Fields ◽  
Quadratic Residues ◽  
Primitive Roots

The distribution of primitive roots in finite fields

1990 ◽  
Vol 45 (1) ◽  
pp. 223-224 ◽  
Author(s):  
G I Perel'muter ◽  
I E Shparlinskii
Keyword(s):  
Finite Fields ◽  
Primitive Roots

scholarly journals Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues

2014 ◽  
Vol 22 (1) ◽  
pp. 41-44
Author(s):  
Şerban Bărcănescu
Keyword(s):  
Finite Fields ◽  
Class Number ◽  
Quadratic Extensions ◽  
Quadratic Residues

AbstractIn the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.

scholarly journals On finding primitive roots in finite fields

1996 ◽  
Vol 157 (2) ◽  
pp. 273-275 ◽  
Author(s):  
Igor Shparlinski
Keyword(s):  
Finite Fields ◽  
Primitive Roots

scholarly journals A LINEAR COMPLEXITY ANALYSIS OF QUADRATIC RESIDUES AND PRIMITIVE ROOTS SPACINGS

2019 ◽  
Vol 19 (1) ◽  
pp. 27-37
Author(s):  
Mihai Caragiu ◽  
Shannon Tefft ◽  
Aaron Kemats ◽  
Travis Maenle
Keyword(s):  
Linear Complexity ◽  
Complexity Analysis ◽  
Quadratic Residues ◽  
Primitive Roots

scholarly journals Polynomials of degree 4 over finite fields representing quadratic residues

2019 ◽  
Vol 2 (1) ◽  
pp. #P1.10
Author(s):  
Shaofei Du ◽  
Klavdija Kutnar ◽  
Dragan Marušič
Keyword(s):  
Finite Fields ◽  
Quadratic Residues
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