|
|
| |
| On the Existence for Some SpecialPrimitive Elements in Finite Fields |
| |
Citation： |
Qunying LIAO,Jiyou LI,Keli PU.On the Existence for Some SpecialPrimitive Elements in Finite Fields[J].Chinese Annals of Mathematics B,2016,37(2):259~266 |
| Page view： 6719
Net amount： 4065 |
Authors： |
Qunying LIAO; Jiyou LI;Keli PU |
Foundation： |
The first author is supported by the National Natural
Science Foundation of China (No.11401408), the Natural Science
Foundation of Sichuan Province (No.14ZA0034) and the Sichuan
Normal University Key Project Foundation (No.13ZDL06). The second
author is supported by the National Natural Science Foundation of
China (No.11001170)
and the Natural Science Foundation of Shanghai Municipal (No.13ZR1422500). |
|
|
| Abstract： |
Let $\mathbf{F}_q$ be a finite field of characteristic $p$. In this
paper, by using the index sum method the authors obtain a sufficient
condition for the existence of a primitive element $\alpha\in
\mathbf{F}_{q^n}$ such that $\alpha+\alpha^{-1}$ is also primitive
or $\alpha+\alpha^{-1}$ is primitive and $\alpha$ is a normal
element of $\mathbf{F}_{q^n}$ over $\mathbf{F}_q$. |
Keywords： |
Finite field, Primitive element, Normal basis |
Classification： |
11T30 |
|
|
Download PDF Full-Text
|
