Title
A METHOD FOR CONSTRUCTING A PSEUDO SELF-DUAL NORMAL BASIS
Abstract
Self-dual normal basis is efficient for the arithmetic operations in extension field and especially trace calculation. However, self-dual normal bases do not exist in [image omitted] when characteristic p is odd and degree m is even. This paper proposes a method to construct an efficient normal basis for trace calculation when extension degree is even. In this paper, we call it pseudo self-dual normal basis.
Year
DOI
Venue
2008
10.1080/01969720802188201
Cybernetics and Systems
Keywords
Field
DocType
efficient normal basis,constructing a pseudo self-dual,self-dual normal basis,normal basis,trace calculation,extension field,degree m,self-dual normal base,characteristic p,extension degree,arithmetic operation
Discrete mathematics,Mathematical optimization,Algebra,Normal basis,Mathematics
Journal
Volume
Issue
ISSN
39
6
0196-9722
Citations 
PageRank 
References 
2
0.44
3
Authors
5
Name
Order
Citations
PageRank
Hiroaki Nasu181.80
Yasuyuki Nogami214652.44
Satoshi Uehara391.47
Ryo Namba441.30
Yoshitaka Morikawa510014.92