NORMAL BASIS OF THE FINITE-FIELD F(2(P-1)PM) OVER F2

Authors
WANG MZ BLAKE IF
Citation
Mz. Wang et If. Blake, NORMAL BASIS OF THE FINITE-FIELD F(2(P-1)PM) OVER F2, IEEE transactions on information theory, 43(2), 1997, pp. 737-739
Citations number
14
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
43
Issue
2
Year of publication
1997
Pages
737 - 739
Database
ISI
SICI code
0018-9448(1997)43:2<737:NBOTFF>2.0.ZU;2-Y
Abstract
The determination of normal bases for finite fields, particularly over the finite field IF2, is of importance in applications such as coding and cryptography. This correspondence gives an explicit normal basis for a finite field IF(2(p-1)p)m over IF2, when 2 is a primitive elemen t module p(2). In the case when p=3, an explicit dual basis is also ob tained.