Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm
Kévin Atighehchi, Stéphane Ballet, Alexis Bonnecaze, Robert Rolland · Comptes Rendus Mathématique · 2016
Thanks to a new construction of the Chudnovsky and 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.