Polynomial basis

In mathematics, a polynomial basis is basis of a polynomial ring, viewed as a vector space over the field of coefficients, or as a free module over… (More)
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Topic mentions per year

Topic mentions per year

1976-2017
0204019762017

Papers overview

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Review
2012
Review
2012
One hundred years after the introduction of the Bernstein polynomial basis, we survey the historical development and current… (More)
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Highly Cited
2011
Highly Cited
2011
We describe the Fourier basis, a linear value function approximation scheme based on the Fourier series. We empirically… (More)
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2007
2007
The detection of errors in arithmetic operations is an important issue. This paper discusses the detection of multiple-bit errors… (More)
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2005
2005
Finite field arithmetic has advantageous space and time complexity when the field is constructed with a sparse polynomial. Katti… (More)
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Highly Cited
2004
Highly Cited
2004
Representing the field elements with respect to the polynomial (or standard) basis, we consider bit parallel architectures for… (More)
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2003
2003
In paper [4], transformation matrices mapping the Legendre and Bernstein forms of a polynomial of degree n into each other are… (More)
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2002
2002
In many of cryptographic schemes, the most time consuming basic arithmetic operation is the finite field multiplication and its… (More)
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2001
2001
A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis… (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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1993
1993
A technique for modeling the multilayer perceptron (MLP) neural network, in which input and hidden units are represented by… (More)
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