Authentication email has already been sent, please check your email box: and activate it as soon as possible.
You can login to My Profile and manage your email alerts.
If you haven’t received the email, please:
|
|
There are 2 papers published in subject: > since this site started. |
Results per page: |
Select Subject |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
1. Cyclic and 1-generator quasi-cyclic codes over F_q+uF_q | |||
ZHU Shixin,KAI Xiaoshan,XU Xianqi | |||
Mathematics 15 February 2012 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we study cyclic codes and 1-generator quasi-cyclic codes over the ring F_q+uF_q where q is a prime power and u^2=0. We give generator polynomials of cyclic codes over F_q+uF_q and discuss some Gray maps on F_q+uF_q. These results are used to study the structure of 1-generator quasi-cyclic codes over F_q+uF_q. A lower bound on Gray distance for a class of 1-generator quasi-cyclic codes over F_q+uF_q is obtained. | |||
TO cite this article:ZHU Shixin,KAI Xiaoshan,XU Xianqi. Cyclic and 1-generator quasi-cyclic codes over F_q+uF_q[OL].[15 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4466661 |
2. On Primitive Optimal Normal Elements of Finite Fields | |||
Qunying Liao | |||
Mathematics 19 January 2010 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:Let q be a prime or prime power and F_{q^{n}} the extension of q elements finite field F_{q} with degree n(n>1). Davenport, Lenstra and Schoof proved that there exists a primitive element \\alpha\\in F_{q^{n}}such that \\alpha generates a normal basis of F_{q^{n}} over F_{q}. Later, Mullin, Gao and Lenstra, etc., raised the definition of optimal normal bases and constructed such bases. In this paper, we determine all primitive type I optimal normal bases and all finite fields in which there exists a pair of reciprocal elements \\alpha and \\alpha^{-1} such that both of them generate optimal normal bases of F_{q^{n}} over F_{q}. Furthermore, we obtain a sufficient condition for the existence of primitive type II optimal normal bases over finite fields and prove that all primitive optimal normal elements are conjugate to each other. | |||
TO cite this article:Qunying Liao. On Primitive Optimal Normal Elements of Finite Fields[OL].[19 January 2010] http://en.paper.edu.cn/en_releasepaper/content/39180 |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
Results per page: |
About Sciencepaper Online | Privacy Policy | Terms & Conditions | Contact Us
© 2003-2012 Sciencepaper Online. unless otherwise stated