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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… Expand
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Papers overview

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Highly Cited
2012
Highly Cited
2012
Efficient implementation of point multiplication is crucial for elliptic curve cryptographic systems. This paper presents the… Expand
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Highly Cited
2010
Highly Cited
2010
We describe in this essay why the gold standard and the euro are extreme forms of fixed exchange rates, and how these policies… Expand
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2009
2009
  • S. Duer
  • Neural Computing and Applications
  • 2009
  • 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… Expand
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Highly Cited
2009
Highly Cited
2009
Gabidulin codes are the rank-metric analogs of Reed-Solomon codes and have a major role in practical error control for network… Expand
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Highly Cited
2002
Highly Cited
2002
In this paper the use of normal bases for multlphcatlon m the fmlte fields GF(p”) IS exammed We introduce the concept of an… Expand
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2002
2002
Many software implementations of public key cryptosystems have been concerned with efficiency. The advent of side channel attacks… Expand
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Highly Cited
2001
Highly Cited
2001
This paper presents a new parallel multiplier for the Galois field GF(2/sup m/) whose elements are represented using the optimal… Expand
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Highly Cited
1998
Highly Cited
1998
  • 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… Expand
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Highly Cited
1998
Highly Cited
1998
We present a new low-complexity bit-parallel canonical basis multiplier for the field GF(2m) generated by an all-one-polynomial… Expand
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Highly Cited
1989
Highly Cited
1989
Abstract In this paper the use of normal bases for multiplication in the finite fields GF(pn) is examined. We introduce the… Expand
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