You are looking at a specific version 20130503:135556 of this paper.
See the latest version.
Paper 2013/252
On the Primitivity of some Trinomials over Finite Fields
LI Yujuan, WANG Huaifu, ZHAO Jinhua
Abstract
In this paper, we give conditions under which the trinomials of the form $x^{n}+ax+b$ over finite field ${\mathbb{F}}_{p^{m}}$ are not primitive and conditions under which there are no primitive trinomials of the form $x^{n}+ax+b$ over finite field ${\mathbb{F}}_{p^{m}}$. For finite field ${\mathbb{F}}_{4}$, We show that there are no primitive trinomials of the form $x^{n}+x+\alpha$, if $n\equiv1\mod 3$ or $n\equiv0\mod 3$ or $n\equiv4\mod 5$.
Metadata
- Available format(s)
- Category
- Secret-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- LFSRprimitive polynomialfinite field
- Contact author(s)
- wanghf @ mmrc iss ac cn
- History
- 2013-05-03: received
- Short URL
- https://ia.cr/2013/252
- License
-
CC BY