Critical Points and Gröbner Bases: the Unmixed Case
Jean-Charles Faugère
,
Mohab Safey El Din
,
Pierre-Jean Spaenlehauer
ISSAC 2012 - International Symposium on Symbolic and Algebraic Computation - 2012 , Jul 2012, Grenoble, France. pp.162-169,
⟨10.1145/2442829.2442855⟩
Communication dans un congrès
hal-00667494v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Computing Small Certificates of Inconsistency of Quadratic Fewnomial Systems
Jean-Charles Faugère
,
Pierre-Jean Spaenlehauer
,
Jules Svartz
International Symposium on Symbolic and Algebraic Computation (ISSAC 2016) , Jul 2016, Waterloo, Canada. pp.223-230,
⟨10.1145/2930889.2930927⟩
Communication dans un congrès
hal-01314651v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
A Quadratically Convergent Algorithm for Structured Low-Rank Approximation
Éric Schost
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-00953684v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Refined Analysis of the Asymptotic Complexity of the Number Field Sieve
Aude Le Gluher
,
Pierre-Jean Spaenlehauer
,
Emmanuel Thomé
Article dans une revue
hal-02934273v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
On the Complexity of Computing Critical Points with Gröbner Bases
Pierre-Jean Spaenlehauer
Article dans une revue
hal-01017032v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
On the Complexity of the Generalized MinRank Problem
Jean-Charles Faugère
,
Mohab Safey El Din
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-00654094v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Solving multi-homogeneous and determinantal systems: algorithms, complexity, applications.
Pierre-Jean Spaenlehauer
Symbolic Computation [cs.SC]. Université Pierre et Marie Curie (Univ. Paris 6), 2012. English.
⟨NNT : ⟩
Thèse
tel-01110756v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Algebraic-Differential Cryptanalysis of DES
Jean-Charles Faugère
,
Ludovic Perret
,
Pierre-Jean Spaenlehauer
Western European Workshop on Research in Cryptology - WEWoRC 2009 , Jul 2009, Graz, Austria. pp.1--5
Communication dans un congrès
hal-01298884v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Improved Complexity Bounds for Counting Points on Hyperelliptic Curves
Simon Abelard
,
Pierrick Gaudry
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-01613530v2
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
A Fast Randomized Geometric Algorithm for Computing Riemann-Roch Spaces
Aude Le Gluher
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-01930573v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree (1,1): Algorithms and complexity
Jean-Charles Faugère
,
Mohab Safey El Din
,
Pierre-Jean Spaenlehauer
Article dans une revue
inria-00596631v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Computing a Group Action from the Class Field Theory of Imaginary Hyperelliptic Function Fields
Pierre-Jean Spaenlehauer
,
Antoine Leudière
Article dans une revue
hal-03633990v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Counting points on genus-3 hyperelliptic curves with explicit real multiplication
Simon Abelard
,
Pierrick Gaudry
,
Pierre-Jean Spaenlehauer
ANTS-XIII - Thirteenth Algorithmic Number Theory Symposium , Jul 2018, Madison, United States. pp.1--19
Communication dans un congrès
hal-01816256v3
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
A Polyhedral Method for Sparse Systems with many Positive Solutions
Frederic Bihan
,
Francisco Santos
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-01877602v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Critical Point Computations on Smooth Varieties: Degree and Complexity bounds
Mohab Safey El Din
,
Pierre-Jean Spaenlehauer
International Symposium on Symbolic and Algebraic Computation (ISSAC) , Jul 2016, Waterloo, Canada. pp.183--190,
⟨10.1145/2930889.2930929⟩
Communication dans un congrès
hal-01312750v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Dimension results for extremal-generic polynomial systems over complete toric varieties
Matías R Bender
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-04102564v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Exact Solutions in Structured Low-Rank Approximation
Giorgio Ottaviani
,
Pierre-Jean Spaenlehauer
,
Bernd Sturmfels
SIAM Journal on Matrix Analysis and Applications , 2014, 35, 4, pp.1521-1542.
⟨10.1137/13094520X⟩
Article dans une revue
hal-00953702v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes
Frédéric Bihan
,
Pierre-Jean Spaenlehauer
2016
Pré-publication, Document de travail
hal-01217547v2
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Sparse Gröbner Bases: the Unmixed Case
Jean-Charles Faugère
,
Pierre-Jean Spaenlehauer
,
Jules Svartz
Communication dans un congrès
hal-00953501v3
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Algebraic Cryptanalysis of the PKC'09 Algebraic Surface Cryptosystem
Jean-Charles Faugère
,
Pierre-Jean Spaenlehauer
PKC 2010 - 13th International Conference on Practice and Theory in Public Key Cryptography , May 2010, Paris, France. pp.35-52,
⟨10.1007/978-3-642-13013-7_3⟩
Communication dans un congrès
hal-01057831v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Computing Loci of Rank Defects of Linear Matrices using Gröbner Bases and Applications to Cryptology
Jean-Charles Faugère
,
Mohab Safey El Din
,
Pierre-Jean Spaenlehauer
ISSAC 2010 - 35th International Symposium on Symbolic and Algebraic Computation , Jul 2010, Munich, Germany. pp.257-264,
⟨10.1145/1837934.1837984⟩
Communication dans un congrès
hal-01057840v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
On the Complexity of Solving Quadratic Boolean Systems
Magali Bardet
,
Jean-Charles Faugère
,
Bruno Salvy
,
Pierre-Jean Spaenlehauer
Article dans une revue
hal-00655745v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More