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Equally Spaced Polynomials, Dual Bases, and Multiplication in F2^n
May 2002 (vol. 51 no. 5)
pp. 588-591

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.

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Index Terms:
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. 5, pp. 588-591, May 2002, doi:10.1109/TC.2002.1004597
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