Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Related Publications
(17)
Optimal Normal Bases
LowComplexity BitParallel Canonical and Normal Basis Multipliers for a Class of Finite Fields
Normal Bases over Finite Fields
Modular Construc...
A Modified MasseyOmura Parallel Multiplier for a Class of Finite Fields
Subscribe
Academic
Publications
Optimal normal bases in GF(pn)
Optimal normal bases in GF(pn),10.1016/0166218X(88)90090X,Discrete Applied Mathematics,Ronald C. Mullin,I. M. Onyszchuk,Scott A. Vanstone,R. M. Wils
Edit
Optimal normal bases in GF(pn)
(
Citations: 128
)
BibTex

RIS

RefWorks
Download
Ronald C. Mullin
,
I. M. Onyszchuk
,
Scott A. Vanstone
,
R. M. Wilson
Journal:
Discrete Applied Mathematics  DAM
, vol. 22, no. 2, pp. 149161, 1989
DOI:
10.1016/0166218X(88)90090X
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
dx.doi.org
)
(
www.informatik.unitrier.de
)
(
linkinghub.elsevier.com
)
Citation Context
(78)
...Proo f: See Vanstone et al [
15
] D Using the above result, for k = 4, 10 ,12, 18, 28, 36, 52, 58,60, ... , the binary extension field GF(2 k) has type lONE...
Gokay Saldamli
,
et al.
Spectral modular arithmetic for binary extension fields
...In [
21
], Mullin et al. show that some normal bases can be optimal for the multiplication...
...Vanstone and coworkers [
21
] proposed a special family of normal bases, i.e., socalled optimal normal bases (ONB), which provide efficient multiplication in IF 2n...
JeanClaude Bajard
,
et al.
Subquadratic Space Complexity Binary Field Multiplier Using Double Pol...
...The complexity of the multiplication depends on the number of nonzero elements inside the multiplication matrix, which is referred to as the complexity of the normal basis, CN .I t has been shown that CN can be expressed as a function of the field size (m), and is minimized for two classes of fields which are referred to as type I and II Optimal Normal Basis (ONB) [
4
]...
Karl Leboeuf
,
et al.
Efficient VLSI implementation of a finite field multiplier using reord...
...multipliers including bitserial, bitparallel and digitserial architectures have been suggested in the existing literature [
3
,4,5,6,7]...
ChiouYng Lee
,
et al.
Concurrent Error Detection in Shifted Dual Basis Multiplier over GF(2m...
...For more information on typeII normal bases, see Mullin et al. [
MOVW89
]...
Daniel J. Bernstein
,
et al.
TypeII Optimal Polynomial Bases
Sort by:
Citations
(128)
Spectral modular arithmetic for binary extension fields
(
Citations: 1
)
Gokay Saldamli
,
YooJin Baek
,
Cetin Kaya Koc
Conference:
International Conference on Communication Software and Networks  ICCSN
, 2011
A WordLevel Finite Field Multiplier Using Normal Basis
Ashkan Hosseinzadeh Namin
,
Huapeng Wu
,
Majid Ahmadi
Journal:
IEEE Transactions on Computers  TC
, vol. 60, no. 6, pp. 890895, 2011
Highspeed hardware implementation of a serialin parallelout finite field multiplier using reordered normal basis
(
Citations: 1
)
A. H. Namin
,
K. Leboeuf
,
R. Muscedere
,
H. Wu
,
M. Ahmadi
Journal:
Iet Circuits Devices & Systems  IET CIRCUITS DEVICES SYST
, vol. 4, no. 2, 2010
Whirlwind: a new cryptographic hash function
Paulo S. L. M. Barreto
,
Ventzislav Nikov
,
Svetla Nikova
,
Vincent Rijmen
,
Elmar Tischhauser
,
D. Jungnickel
,
P. Wild
Journal:
Designs, Codes and Cryptography  DCC
, vol. 56, no. 23, pp. 141162, 2010
Construction of selfdual normal bases and their complexity
François Arnault
,
Erik Jarl Pickett
,
Stéphane Vinatier
Journal:
Finite Fields and Their Applications  FINITE FIELDS THEIR APPL
, 2010