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Equally spaced polynomials, dual bases, and multiplication in F(2 n)

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1 Author(s)
Gollmann, D. ; Microsoft Res. Ltd., Cambridge, UK

A proposed multiplier for finite fields given by equally spaced polynomials is based on the transformation from the polynomial basis to its dual basis, combined with multiplication by a constant. We classify the constants that are optimal regarding the cost of this operation and investigate the cost of the inverse transformation

Published in:

Computers, IEEE Transactions on  (Volume:51 ,  Issue: 5 )

Date of Publication:

May 2002

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