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arXiv · 1510.00090

On Chudnovsky-Based Arithmetic Algorithms in Finite Fields

Kevin Atighehchi·Stéphane Ballet·Alexis Bonnecaze·Robert Rolland
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Abstract

Thanks to a new construction of the so-called Chudnovsky-Chudnovsky multiplication algorithm, we design efficient algorithms for both the exponentiation and the multiplication in finite fields. They are tailored to hardware implementation and they allow computations to be parallelized while maintaining a low number of bilinear multiplications. We give an example with the finite field ${\mathbb F}_{16^{13}}$.

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Kevin Atighehchi, Stéphane Ballet, Alexis Bonnecaze, Robert Rolland. 2015-10-01. On Chudnovsky-Based Arithmetic Algorithms in Finite Fields. https://arxiv.org/abs/1510.00090

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