Title
Finding A Basis Conversion Matrix Via Prime Gauss Period Normal Basis
Abstract
This paper proposes a method to construct a basis conversion matrix between two given bases in F-pm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when m log p approximate to 160.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.1500
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
public key cryptography, extension field, Gauss period normal basis, basis conversion
Prime (order theory),Discrete mathematics,Gauss,Matrix (mathematics),Normal basis,Basis function,Time complexity,Public-key cryptography,Mathematics
Journal
Volume
Issue
ISSN
E92A
6
0916-8508
Citations 
PageRank 
References 
2
0.52
7
Authors
3
Name
Order
Citations
PageRank
Yasuyuki Nogami114652.44
Ryo Namba241.30
Yoshitaka Morikawa310014.92