Title
Solving Xq+1 + X + a = 0 over finite fields
Abstract
Solving the equation Pa(X):=Xq+1+X+a=0 over the finite field FQ, where Q=pn,q=pk and p is a prime, arises in many different contexts including finite geometry, the inverse Galois problem [2], the construction of difference sets with Singer parameters [8], determining cross-correlation between m-sequences [9], [15] and the construction of error-correcting codes [5], as well as speeding up the index calculus method for computing discrete logarithms on finite fields [11], [12] and on algebraic curves [18].
Year
DOI
Venue
2021
10.1016/j.ffa.2020.101797
Finite Fields and Their Applications
Keywords
DocType
Volume
12E05,12E12,12E10
Journal
70
ISSN
Citations 
PageRank 
1071-5797
2
0.37
References 
Authors
0
3
Name
Order
Citations
PageRank
Kwang Ho Kim12011.90
Junyop Choe220.37
Sihem Mesnager320.37