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… (More)
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Topic mentions per year

1944-2017
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Papers overview

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2010
2010
Gaussian normal bases have been included in a number of standards, such as IEEE [1] and NIST [2] for elliptic curve digital… (More)
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2005
2005
For efficient hardware implementation of finite field arithmetic units, the use of a normal basis is advantageous. In this paper… (More)
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2004
2004
In this article, two digit-serial architectures for normal basis multipliers over (GF(2m)) are presented. These two structures… (More)
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2003
2003
In cryptographic applications, the use of normal bases to represent elements of the finite field GFð2Þ is quite advantageous… (More)
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Highly Cited
2001
Highly Cited
2001
ÐThis paper presents a new parallel multiplier for the Galois field GF …2m† whose elements are represented using the optimal… (More)
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2001
2001
For cryptographic applications, normal bases have received considerable attention, especially for hardware implementation. In… (More)
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1999
1999
Bit-parallel finite field multiplication in F2m using polynomial basis can be realized in two steps: polynomial multiplication… (More)
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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(2 m ) generated by an all-onepolynomial… (More)
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1994
1994
In this paper we give some experimental results on the multiplicative orders of optimal normal basis generators in F2n over F2… (More)
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Highly Cited
1989
Highly Cited
1989
A normal basis in GF(qm) is a basis of the form {a p9, fig’, . . . , flqm-‘], i.e., a basis of conjugate elements in the field… (More)
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