Stéphane Ballet

Available identifiers

zbMath Open ballet.stephaneMaRDI QIDQ398930

List of research outcomes

Publication	Date of Publication	Type
Chudnovsky-type algorithms over the projective line using generalized evaluation maps	2023-10-04	Paper
Polynomial constructions of Chudnovsky-type algorithms for multiplication in finite fields with linear bilinear complexity	2023-08-10	Paper
Chaining multiplications in finite fields with Chudnovsky-type algorithms and tensor rank of the \(k\)-multiplication	2023-07-26	Paper
A strategy to optimize the complexity of Chudnovsky-type algorithms over the projective line	2023-03-07	Paper
Construction of asymmetric Chudnovsky-type algorithms for multiplication in finite fields	2022-11-23	Paper
On the number of effective divisors in algebraic function fields defined over a finite field	2022-10-21	Paper
Optimization of the scalar complexity of Chudnovsky\(^2\) multiplication algorithms in finite fields	2022-04-01	Paper
On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry	2021-06-04	Paper
Multiplication in finite fields with Chudnovsky-type algorithms on the projective line	2020-07-31	Paper
On the scalar complexity of Chudnovsky\(^2\) multiplication algorithm in finite fields	2020-04-29	Paper
Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields	2019-02-20	Paper
Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of \(\mathbb{F}_2\) and \(\mathbb{F}_3\)	2018-01-12	Paper
On the construction of the asymmetric Chudnovsky multiplication algorithm in finite fields without derivated evaluation	2017-07-31	Paper
Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm	2017-07-03	Paper
On some bounds for symmetric tensor rank of multiplication in finite fields	2017-05-29	Paper
Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm	2017-02-24	Paper
On The Effective Construction of Asymmetric Chudnovsky Multiplication Algorithms in Finite Fields Without Derivated Evaluation	2016-11-09	Paper
https://portal.mardi4nfdi.de/entity/Q2802992	2016-05-03	Paper
Lower bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers	2016-04-22	Paper
On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields	2016-02-22	Paper
On Chudnovsky-Based Arithmetic Algorithms in Finite Fields	2015-09-30	Paper
On low weight codewords of generalized affine and projective Reed-Muller codes	2014-08-18	Paper
Shimura Modular Curves and Asymptotic Symmetric Tensor Rank of Multiplication in any Finite Field	2013-09-20	Paper
Lower bounds on the class number of algebraic function fields defined over any finite field	2013-03-07	Paper
A note on Yao's theorem about pseudo-random generators	2012-02-21	Paper
Families of curves over finite fields	2011-10-05	Paper
Lower bounds for the class number of an algebraic function field over a finite field	2011-09-22	Paper
On the tensor rank of multiplication in finite extensions of finite fields	2011-07-06	Paper
https://portal.mardi4nfdi.de/entity/Q3000307	2011-05-18	Paper
On the tensor rank of multiplication in any extension of \(\mathbb F_2\)	2011-04-13	Paper
On the existence of dimension zero divisors in algebraic function fields defined over Fq	2010-06-21	Paper
Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds	2009-06-30	Paper
https://portal.mardi4nfdi.de/entity/Q3545361	2008-12-10	Paper
On the tensor rank of the multiplication in the finite fields	2008-06-09	Paper
On the existence of non-special divisors of degree \(g\) and \(g-1\) in algebraic function fields over \(\mathbb{F}_2\)	2006-03-24	Paper
An improvement of the construction of the D. V. and G. V. Chudnovsky algorithm for multiplication in finite fields	2006-03-24	Paper
https://portal.mardi4nfdi.de/entity/Q5706775	2005-11-23	Paper
On the bounds of the bilinear complexity of multiplication in some finite fields	2005-02-09	Paper
An improvement of bilinear complexity bounds in some finite fields.	2004-11-23	Paper
Descent of the Definition Field of a Tower of Function Fields and Applications	2004-09-09	Paper
Multiplication algorithm in a finite field and tensor rank of the multiplication.	2004-03-15	Paper
Low increasing tower of algebraic function fields and bilinear complexity of multiplication in any extension of \(\mathbb F_q\)	2003-11-19	Paper
Quasi-optimal algorithms for multiplication in the extensions of \(\mathbb F_{16}\) of degree 13, 14 and 15	2002-08-22	Paper
Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\)	2000-02-10	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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This page was built for person: Stéphane Ballet