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Normal basis
Known as:
Normal
, Normal basis theorem
, Primitive normal basis
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In mathematics, a normal basis in field theory is a special kind of basis for Galois extensions of finite degree, characterised as forming a single…
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Related topics
Related topics
10 relations
Basis (linear algebra)
Cryptography
Cyclotomic fast Fourier transform
ECC patents
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Broader (1)
Linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Reduced-Order Monte Carlo Modeling of Radiation Transport in Random Media
A. Olson
2016
Corpus ID: 67321428
The ability to perform radiation transport computations in stochastic media is essential for predictive capabilities in…
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2016
2016
High-speed VLSI implementation of Digit-serial Gaussian normal basis Multiplication over GF(2m)
Bahram Rashidi
,
S. Sayedi
,
R. R. Farashahi
IACR Cryptology ePrint Archive
2016
Corpus ID: 1322693
In this paper, by employing the logical effort technique an efficient and high-speed VLSI implementation of the digit-serial…
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2013
2013
Design of an elliptic curve cryptoprocessor using optimal normal basis over GF(2233)
F. A. Urbano-Molano
,
V. Trujillo-Olaya
,
Jaime Velasco-Medina
IEEE 4th Latin American Symposium on Circuits and…
2013
Corpus ID: 40720099
This paper presents the design of an elliptic curve cryptoprocessor using optimal normal basis. The scalar point multiplication…
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2011
2011
Galois algebras, Hasse principle and induction-restriction methods
E. Bayer-Fluckiger
,
R. Parimala
Documenta Mathematica
2011
Corpus ID: 14913409
Keywords: Dual Normal Bases ; Forms Reference EPFL-ARTICLE-176135View record in Web of Science Record created on 2012-04-11…
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2010
2010
Hardware Architectures for Elliptic Curve Cryptoprocessors Using Polynomial and Gaussian Normal Basis over GF(2233)
V. Trujillo-Olaya
,
Jaime Velasco-Medina
IFIP International Conference on Theoretical…
2010
Corpus ID: 32013260
This work presents efficient hardware architectures for elliptic curves cryptoprocessors using polynomial and gaussian normal…
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2010
2010
Fast Scalar Multiplications on Hyperelliptic Curve Cryptosystems
Lin You
,
Jiwen Zeng
Informatica
2010
Corpus ID: 10634574
Scalarmultiplicationisthekeyoperationinhyperellipticcurvecryptosystem.BymakinguseofEuclidean…
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2009
2009
Two studies of Japan-REIT performance : modeling risk and tracking property-level performance
Rena Konagai
2009
Corpus ID: 109176325
This paper is intended to recognize the performance of REITs in Japan (J-REITs) by conducting two kinds of studies in a REIT…
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2006
2006
A New Parallel Multiplier for Type II Optimal Normal Basis
Chang Han Kim
,
Yongtae Kim
,
Sung-Yeon Ji
,
IlWhan Park
International Conference on Computational…
2006
Corpus ID: 263387
In hardware implementation for the finite field, the use of normal basis has several advantages, especially the optimal normal…
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2005
2005
Quadrinomial modular arithmetic using modified polynomial basis
C. Nègre
International Conference on Information…
2005
Corpus ID: 17030884
Finite field arithmetic has advantageous space and time complexity when the field is constructed with a sparse polynomial. Katti…
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1991
1991
On the existence of an integral normal basis generated by a unit in prime extensions of rational numbers
S. Jakubec
,
J. Kostra
,
Karol Nemoga
1991
Corpus ID: 39055366
In the present paper a necessary condition for a cyclic extension of the rationals of prime degree 1 to have an integral normal…
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