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<p>A recently 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.</p>
Equally spaced polynomials, dual bases, trace, multipliers for {\rm F}_{2^n}
D. Gollmann, "Equally Spaced Polynomials, Dual Bases, and Multiplication in F2^n", IEEE Transactions on Computers, vol. 51, no. , pp. 588-591, May 2002, doi:10.1109/TC.2002.1004597
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