Normal basis of the finite field F(2(p-1)pm) over F-2

被引：1

作者：

Wang, MZ ^{[1
]}

Blake, IF ^{[1
]}

机构：

[1] UNIV WATERLOO, DEPT ELECT & COMP ENGN, WATERLOO, ON N2L 3G1, CANADA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1997年 / 43卷 / 02期

关键词：

finite-field arithmetic; normal bases; dual bases;

D O I：

10.1109/18.556132

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 element module p(2). In the case when p=3, an explicit dual basis is also obtained.

引用

页码：737 / 739

页数：3

共 50 条

[31] DETERMINATION OF ALPHA(S) FROM F-2(P) AT HERA
BALL, RD
FORTE, S
PHYSICS LETTERS B, 1995, 358 (3-4) : 365 - 378
[32] DESIGN OF AN F-2 DOUBLE ASPHERIC CURVED FIELD LENS
MEIRON, J
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1956, 46 (12) : 1091 - 1092
[33] HYPERGEOMETRIC FUNCTION F-2(1) ON A JORDAN ALGEBRA
DIB, H
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (01): : 25 - 30
[34] (F-2(+))(H) and (F-2(+))(AH) centres in KCl and KBr doped with either carbonates or sulphates
Diaf, M
Labaci, K
Hamaidia, A
Rocher, B
JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (33) : 6105 - 6112
[35] FUNCTIONAL EQUATION F(X)=F(X/2)+F((X+1)/2) OVER GF(P)
DICKEY, LJ
KAIRIES, HH
SHANK, HS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (06): : 956 - &
[36] THE F-2 EXCRETION OF NORMAL MEN ON DIFFERENT LEVELS OF NIACIN INTAKE
MICKELSEN, O
ERICKSON, LL
PROCEEDINGS OF THE SOCIETY FOR EXPERIMENTAL BIOLOGY AND MEDICINE, 1945, 58 (01): : 33 - 36
[37] Binary Finite Field Extensions for Diffusion Matrices over the Finite Field F2m
Pehlivanoglu, Meltem Kurt
Sakalli, Fatma Buyuksaracoglu
Akleylek, Sedat
Sakalli, Muharrem Tolga
29TH IEEE CONFERENCE ON SIGNAL PROCESSING AND COMMUNICATIONS APPLICATIONS (SIU 2021), 2021,
[38] F-2为啥没能飞走
长山
兵器知识, 2011, (05) : 28 - 29
[39] Extracting F-2(Lambda)(q(2))/F-2(Sigma Lambda)(q(2)) from p(e,e'K+)(Lambda)over-right-arrow/(Sigma)over-right-arrow(0) polarizations?
Williams, RA
Small, TM
PHYSICAL REVIEW C, 1997, 55 (02): : 882 - 889
[40] Spectroscopy of F-2 in Ne matrices
Bressler, C
Lawrence, WG
Schwentner, N
JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (04): : 1318 - 1329

← 1 2 3 4 5 →