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Normal basis

Known as: Normal, Normal basis theorem, Primitive normal basis 
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)CryptographyCyclotomic fast Fourier transformECC patents

Broader (1)

Linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2011
Highly Cited
2011
A Lightweight High-Performance Fault Detection Scheme for the Advanced Encryption Standard Using Composite Fields
The faults that accidently or maliciously occur in the hardware implementations of the Advanced Encryption Standard (AES) may… 
2010
2010
Diagnostic system with an artificial neural network in diagnostics of an analogue technical object
  • S. Duer
  • Neural computing & applications (Print)
  • 2010
  • Corpus ID: 35385117
This paper presents a method to control an operation process of a complex technical object, for example a car engine, with the… 
Highly Cited
2009
Highly Cited
2009
Fast encoding and decoding of Gabidulin codes
Gabidulin codes are the rank-metric analogs of Reed-Solomon codes and have a major role in practical error control for network… 
2008
2008
FPGA implementation of high performance elliptic curve cryptographic processor over GF
Highly Cited
2007
Highly Cited
2007
Parallel Itoh–Tsujii multiplicative inversion algorithm for a special class of trinomials
In this contribution, we derive a novel parallel formulation of the standard Itoh–Tsujii algorithm for multiplicative inverse… 
Highly Cited
2002
Highly Cited
2002
OPTIMAL NORMAL BASES IN GF(p”)*
In this paper the use of normal bases for multlphcatlon m the fmlte fields GF(p”) IS exammed We introduce the concept of an… 
Highly Cited
1998
Highly Cited
1998
A New Representation of Elements of Finite Fields GF(2m) Yielding Small Complexity Arithmetic Circuits
  • G. Drolet
  • IEEE Trans. Computers
  • 1998
  • Corpus ID: 23803980
Let F/sub 2/ denote the binary field and F/sub 2m/, an algebraic extension of degree m>1 over F/sub 2/. Traditionally, elements… 
Highly Cited
1990
Highly Cited
1990
Constructing Normal Bases in Finite Fields
Highly Cited
1989
Highly Cited
1989
Optimal normal bases in GF(pn)
Highly Cited
1989
Highly Cited
1989
Low complexity normal bases
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