有限域的伪对偶基  

Pseudo-dual bases of GF(q￣n) over GF(q)

作　　者：周炜[1] 肖国镇[1] 

机构地区：[1]三原空军导弹学院,西安电子科技大学信息保密所

出　　处：《西安电子科技大学学报》1996年第2期277-281,共5页Journal of Xidian University

摘　　要：引入了有限域的伪对偶基概念，给出了元素生成伪自对偶多项式基的充要条件．还给出了伪自对倡正规基的对偶基形式．这些结果对于对偶基来法器的设计很有用处．With the concept of pseudo-dual basis of GF(qn) over Gb(q) introduced, a necessary and sufficient condition for an element α ∈ GF(qn)to generate a pseudo-self-dual polynomial basis is given.Also presented in this paper is a necessary condition for an element to generate a pseudoself-dual normal basis. The results obtained are similar to those in Ref.[4]and are usefUl for the design of a dual basis multiplier.

关 键 词：伪对偶基 多项式基 正规基 有限域 编码理论 

分 类 号：O153.4[理学—数学] O157.4[理学—基础数学]