Arithmetic progression in a finite field with prescribed norms
Arithmetic progression in a finite field with prescribed norms
Abstract Given a prime power q and a positive integer n , let <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>𝔽</m:mi> <m:msup> <m:mi>q</m:mi> <m:mi>n</m:mi> </m:msup> </m:msub> </m:math> {\mathbb{F}_{q^{n}}} represent a finite extension of degree n of the finite field <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>𝔽</m:mi> <m:mi>q</m:mi> </m:msub> </m:math> {{\mathbb{F}_{q}}} . In this article, we investigate the …