31 citations · 64 across the 19 of their papers we have counts for
7 papers · 1 filter
On the Weil descent of Artin-Schreier algebraic function fields over finite fields
Stéphane Ballet, Robert Rolland
Let us consider a generalized Artin-Schreier algebraic function field extension of the rational function field $\F_{p^n}(x)$ defined over the finite field extension $K=\F_{p^n}…
Chaining Multiplications in Finite Fields with Chudnovsky-type Algorithms and Tensor Rank of the k-multiplication
Stéphane Ballet, Robert Rolland
We design a class of Chudnovsky-type algorithms multiplying k elements of a finite extension of order n a finite field K. We prove that these algorithms give a tensor decomposition…
Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields
Stéphane Ballet, Alexey Zykin
We obtain new uniform bounds for the symmetric tensor rank of multiplication in finite extensions of any finite field Fp or Fp2 where p denotes a prime number greater or equal than…
Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds
Stéphane Ballet, Robert Rolland
We study and explicitly construct some families of asymptotically exact sequences of algebraic function fields. It turns out that these families have an asymptotical class number w…
On the existence of dimension zero divisors in algebraic function fields defined over F_q
Stephane Ballet, Christophe Ritzenthaler, Robert Rolland
Let F/F_q be an algebraic function field of genus g defined over a finite field F_q. We obtain new results on the existence, the number and the density of dimension zero divisors o…
On the existence of non-special divisors of degree and in algebraic function fields over $\F_q$
Stephane Ballet, Dominique Le Brigand
We study the existence of non-special divisors of degree and for algebraic function fields of genus defined over a finite field $\F_q$. In particular, we prove…