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

[1] SHADOWING IN DEUTERIUM AND THE SMALL-X LIMIT OF F-2(N)/F-2(P) AND F-2(P)-F-2(N)
BARONE, V
GENOVESE, M
NIKOLAEV, NN
PREDAZZI, E
ZAKHAROV, BG
PHYSICS LETTERS B, 1994, 321 (1-2) : 137 - 139
[2] SHADOWING IN DEUTERON AND THE NEW F-2(N)/F-2(P) MEASUREMENTS
BADELEK, B
NUCLEAR PHYSICS B, 1995, : 9 - 12
[3] Accurate measurement of F-2(d)/F-2(p) and R(d)-R(p)
Arneodo, M
Arvidson, A
Badelek, B
Ballintijn, M
Baum, G
Beaufays, J
Bird, IG
Bjorkholm, P
Botje, M
Broggini, C
Bruckner, W
Brull, A
Burger, WJ
Ciborowski, J
vanDantzig, R
Dyring, A
Engelien, H
Ferrero, MI
Fluri, L
Gaul, U
Granier, T
GrossePerdekamp, M
vonHarrach, D
vanderHeijden, M
Heusch, C
Ingram, Q
deJong, M
Kabuss, EM
Kaiser, R
Ketel, TJ
Klein, F
Kullander, S
Landgraf, U
Lindqvist, T
Mallot, GK
Mariotti, C
vanMiddelkoop, G
Milsztajn, A
Mizuno, Y
Most, A
Mucklich, A
Nassalski, J
Nowotny, D
Oberski, J
Paic, A
Peroni, C
Povh, B
Prytz, K
Rieger, R
Rith, K
NUCLEAR PHYSICS B, 1997, 487 (1-2) : 3 - 26
[4] GOTTFRIED SUM-RULE AND THE RATIO F-2(N)/F-2(P)
ARASH, F
PHYSICAL REVIEW D, 1995, 52 (01): : 68 - 71
[5] MEASUREMENT OF THE PROTON AND THE DEUTERON STRUCTURE FUNCTIONS, F-2(P) AND F-2(D)
ARNEODO, M
ARVIDSON, A
BADELEK, B
BALLINTIJN, M
BAUM, G
BEAUFAYS, J
BIRD, IG
BJORKHOLM, P
BOTJE, M
BROGGINI, C
BRUCKNER, W
BRULL, A
BURGER, WJ
CIBOROWSKI, J
VANDANTZIG, R
DYRING, A
ENGELIEN, H
FERRERO, MI
FLURI, L
GAUL, U
GRANIER, T
GROSSEPERDEKAMP, M
VONHARRACH, D
VANDERHEIJDEN, M
HEUSCH, C
IGO, G
INGRAM, Q
DEJONG, M
KABUSS, EM
KAISER, R
KESSLER, HJ
KETEL, TJ
KLEIN, F
KULLANDER, S
LANDGRAF, U
LINDQVIST, T
MALLOT, GK
MARIOTTI, C
VANMIDDELKOOP, G
MILSZTAJN, A
MIZUNO, Y
MOST, A
MUCKLICH, A
NASSALSKI, J
NOWOTNY, D
OBERSKI, J
PAIC, A
PERONI, C
POVH, B
PRYTZ, K
PHYSICS LETTERS B, 1995, 364 (02) : 107 - 115
[6] STRUCTURE-FUNCTION RATIOS F-2(LI)/F-2(D) AND F-2(C)/F-2(D) AT LOW X(BJ)
PAIC, A
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1994, 107 (10): : 2141 - 2148
[7] THE STRUCTURE-FUNCTION RATIOS F-2(LI)/F-2(D) AND F-2(C)/F-2(D) AT SMALL-X
ARNEODO, M
ARVIDSON, A
BADELEK, B
BALLINTIJN, M
BAUM, G
BEAUFAYS, J
BIRD, IG
BJORKHOLM, P
BOTJE, M
BROGGINI, C
BRUCKNER, W
BRULL, A
BURGER, WJ
CIBOROWSKI, J
VANDANTZIG, R
DYRING, A
ENGELIEN, H
FERRERO, MI
FLURI, L
GAUL, U
GRANIER, T
GROSSEPERDEKAMP, M
VONHARRACH, D
VANDERHEIJDEN, M
HEUSCH, C
IGO, G
INGRAM, Q
JANSONPRYTZ, K
DEJONG, M
KABUSS, EM
KAISER, R
KESSLER, HJ
KETEL, TJ
KLEIN, F
KULLANDER, S
LANDGRAF, U
LINDQVIST, T
MALLOT, GK
MARIOTTI, C
VANMIDDELKOOP, G
MILSZTAJN, A
MIZUNO, Y
MOST, A
MUCKLICH, A
NASSALSKI, J
NOWOTNY, D
OBERSKI, J
PAIC, A
PERONI, C
POVH, B
NUCLEAR PHYSICS B, 1995, 441 (1-2) : 12 - 30
[8] Irreducibility of f(x(2)+x+1) and f(x(2)+x) and normal basis in finite-field GF(2(2n))
Wang, MZ
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1997, E80A (10) : 2040 - 2042
[9] F-1 and F-2 of Najjar and Holt in the urine of normal young men
Sargent, F
Robinson, P
Johnson, RE
JOURNAL OF CLINICAL INVESTIGATION, 1944, 23 (05): : 714 - 719
[10] Q2 DEPENDENCE OF F-2(N) F-2(P) IN DEEP INELASTIC MUON SCATTERING
EPELE, LN
FANCHIOTTI, H
CANAL, CAG
LEADER, E
SASSOT, R
PHYSICAL REVIEW D, 1993, 47 (07) : R2648 - R2651

← 1 2 3 4 5 →