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Symmetry and duality in normal basis multiplication

1989
This paper is concerned with efficient hardware architectures for normal basis multipliers in GF(2n). New serial input/parallel output architectures are derived. The complexity of these multipliers is equivalent to the complexity of the Massey-Omura multiplier. We also combine dual basis and normal basis techniques. The duality of normal bases is shown
Geiselmann, Willi, Gollmann, Dieter
openaire   +1 more source

The Basis and Logic of the Normalization Principle

Australia and New Zealand Journal of Developmental Disabilities, 1985
“Take any demand, however slight, which any creature, however weak, may make. Ought it not, for its own sole sale, to be satisfied? If not, prove why not” William James2“We hope that the philosophy will become strong enough to eliminate distinctions between the normals, the mentally retarded, and other deviants.” Niels Erik Bank ...
openaire   +1 more source

Orbits of normal basis generators

The Quarterly Journal of Mathematics, 2004
Let \(A\) denote a finite-dimensional associative algebra over a field \(F\). It is assumed that \(A\) has a two-sided nonzero identity element. A hyperplane \(H\) in \(A\) is an \(F\)-subspace of codimension~1. A field with two elements is denoted by \(\mathbb{F}^2\). If \(R\) is a ring, then \(R^\times\) denotes the unit group of \(R\).
openaire   +1 more source

Normalized Gaussian basis function neural networks

Neural Parallel Sci. Comput., 2020
Summary: Normalized Gaussian basis function neural networks are considered. The normalization is introduced when the mapping of an input to output variable is modeled statistically. The mapping is determined by the conditional average estimator which is derived from the joint probability density function.
Miran Kokol, Igor Grabec
openaire   +2 more sources

The Normal Basis Theorem

The American Mathematical Monthly, 1979
openaire   +1 more source

High-Speed Architectures for Multiplication Using Reordered Normal Basis

IEEE Transactions on Computers, 2012
Huapeng Wu, Majid Ahmadi
exaly  

Efficient digit-serial normal basis multipliers over binary extension fields

Transactions on Embedded Computing Systems, 2004
Arash Reyhani-Masoleh
exaly  

A method for constructing a self-dual normal basis in odd characteristic extension fields

Finite Fields and Their Applications, 2008
Yasuyuki Nogami
exaly  

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