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Symmetry and duality in normal basis multiplication
1989This 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
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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 ...
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Orbits of normal basis generators
The Quarterly Journal of Mathematics, 2004Let \(A\) 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 \(R\).
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Normalized Gaussian basis function neural networks
Neural Parallel Sci. Comput., 2020Summary: 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
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A Generalization of the normal Basis Theorem
Mathematische Nachrichten, 1972openaire +1 more source
Semilinear Normal Basis for Quasifields
American Journal of Mathematics, 1949openaire +2 more sources
High-Speed Architectures for Multiplication Using Reordered Normal Basis
IEEE Transactions on Computers, 2012Huapeng Wu, Majid Ahmadi
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Efficient digit-serial normal basis multipliers over binary extension fields
Transactions on Embedded Computing Systems, 2004Arash Reyhani-Masoleh
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A method for constructing a self-dual normal basis in odd characteristic extension fields
Finite Fields and Their Applications, 2008Yasuyuki Nogami
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