31 citations · 64 across the 19 of their papers we have counts for
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Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field
Stéphane Ballet, Jean Chaumine, Julia Pieltant
We obtain new asymptotical bounds for the symmetric tensor rank of multiplication in any finite extension of any finite field $\F_q$. In this aim, we use the symmetric Chudnovsky-t…
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…
Lower bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers
Stéphane Ballet, Robert Rolland, Seher Tutdere
We give effective bounds for the class number of any algebraic function field of genus defined over a finite field. These bounds depend on the possibly partial information on t…