12 citations · 38 across the 20 of their papers we have counts for
5 papers · 2 filters
The translate and line properties for 2-primitive elements in quadratic extensions
Stephen D. Cohen, Giorgos Kapetanakis
Let be integers and be any prime power such that . We say that the extension possesses the line property for -primit…
Primitive values of rational functions at primitive elements of a finite field
Stephen D. Cohen, Hariom Sharma, Rajendra Sharma
Given a prime power and an integer , we establish a sufficient condition for the existence of a primitive pair where and $f(x) \in \mathb…
Finite field extensions with the line or translate property for -primitive elements
Stephen D. Cohen, Giorgos Kapetanakis
Let be integers and be any prime power such that . We say that the extension possesses the line property for -primit…
Primitive Element Pairs with a Prescribed Trace in the Quartic Extension of a Finite Field
Stephen D. Cohen, Anju Gupta
In this article, we give a largely self-contained proof that the quartic extension of the finite field contains a primitive element such that…
The trace of 2-primitive elements of finite fields (amended version)
Stephen D. Cohen, Giorgos Kapetanakis
Let be a prime power and integers such that . An element of of multiplicative order is called \emph{-primitive}. For any o…