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math.AG2020
Optimization of the scalar complexity of Chudnovsky multiplication algorithms in finite fields
Stephane Ballet, Alexis Bonnecaze, Thanh-Hung Dang
We propose several constructions for the original multiplication algorithm of D.V. and G.V. Chudnovsky in order to improve its scalar complexity. We highlight the set of generic st…
math.AG2013★ 3 cited
On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields
Stéphane Ballet, Alexis Bonnecaze, Mila Tukumuli
We indicate a strategy in order to construct bilinear multiplication algorithms of type Chudnovsky in large extensions of any finite field. In particular, by using the symmetric ve…