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1

Hybrid approach for solving multivariate systems over finite fields

Bettale, Luk, Faugère, Jean-Charles, Perret, Ludovic

Journal:

Journal of Mathematical Cryptology

Year:

2009

Language:

english

File:

PDF, 210 KB

english, 2009

2

Exhaustive approach to the coupling matrix synthesis problem and application to the design of high degree asymmetric filters

Richard J. Cameron, Jean-Charles Faugere, Fabrice Rouillier, Fabien Seyfert

Journal:

International Journal of RF and Microwave Computer-Aided Engineering

Year:

2007

Language:

english

File:

PDF, 352 KB

english, 2007

3

The implicit structure of ridges of a smooth parametric surface

Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier

Journal:

Computer Aided Geometric Design

Year:

2006

Language:

english

File:

PDF, 407 KB

english, 2006

4

An efficient algorithm for decomposing multivariate polynomials and its applications to cryptography

Jean-Charles Faugère, Ludovic Perret

Journal:

Journal of Symbolic Computation

Year:

2009

Language:

english

File:

PDF, 741 KB

english, 2009

5

A new efficient algorithm for computing Gröbner bases (F4)

Jean-Charles Faugére

Journal:

Journal of Pure and Applied Algebra

Year:

1999

Language:

english

File:

PDF, 495 KB

english, 1999

6

Analysis of the algebraic side channel attack

Claude Carlet, Jean-Charles Faugère, Christopher Goyet, Guénaël Renault

Journal:

Journal of Cryptographic Engineering

Year:

2012

Language:

english

File:

PDF, 738 KB

english, 2012

7

Computing modular correspondences for abelian varieties

Jean-Charles Faugère, David Lubicz, Damien Robert

Journal:

Journal of Algebra

Year:

2011

Language:

english

File:

PDF, 402 KB

english, 2011

8

Design of regular nonseparable bidimensional wavelets using Grobner basis techniques

Jean-Charles Faugere, de Saint-Martin, F.M., Rouillier, F.

Journal:

IEEE Transactions on Signal Processing

Year:

1998

Language:

english

File:

PDF, 510 KB

english, 1998

9

Algebraic attack on NTRU using Witt vectors and Gröbner bases

Bourgeois, Gérald, Faugère, Jean-Charles

Journal:

Journal of Mathematical Cryptology

Year:

2009

Language:

english

File:

PDF, 118 KB

english, 2009

10

On the decoding of binary cyclic codes with the Newton identities

Daniel Augot, Magali Bardet, Jean-Charles Faugère

Journal:

Journal of Symbolic Computation

Year:

2009

Language:

english

File:

PDF, 944 KB

english, 2009

11

Foreword

Jean-Charles Faugère, Fabrice Rouillier

Journal:

Journal of Symbolic Computation

Year:

2009

Language:

english

File:

PDF, 141 KB

english, 2009

12

Foreword

Daniel Augot, Jean-Charles Faugère, Ludovic Perret

Journal:

Journal of Symbolic Computation

Year:

2009

Language:

english

File:

PDF, 202 KB

english, 2009

13

Artificial discontinuities of single-parametric Gröbner bases

Jean-Charles Faugère, Ye Liang

Journal:

Journal of Symbolic Computation

Year:

2011

Language:

english

File:

PDF, 243 KB

english, 2011

14

Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree : Algorithms and complexity

Jean-Charles Faugère, Mohab Safey El Din, Pierre-Jean Spaenlehauer

Journal:

Journal of Symbolic Computation

Year:

2011

Language:

english

File:

PDF, 458 KB

english, 2011

15

Foreword

Jean-Charles Faugère, Ludovic Perret

Journal:

Mathematics in Computer Science

Year:

2010

Language:

english

File:

PDF, 79 KB

english, 2010

16

Pivoting in Extended Rings for Computing Approximate Gröbner Bases

Jean-Charles Faugère, Ye Liang

Journal:

Mathematics in Computer Science

Year:

2011

Language:

english

File:

PDF, 329 KB

english, 2011

17

The membrane inclusions curvature equations

Jean-Charles Faugère, Milena Hering, Jeff Phan

Journal:

Advances in Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 230 KB

english, 2003

18

On enumeration of polynomial equivalence classes and their application to MPKC

Dongdai Lin, Jean-Charles Faugère, Ludovic Perret, Tianze Wang

Journal:

Finite Fields and Their Applications

Year:

2012

Language:

english

File:

PDF, 245 KB

english, 2012

19

On the relation between the MXL family of algorithms and Gröbner basis algorithms

Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Ludovic Perret

Journal:

Journal of Symbolic Computation

Year:

2012

Language:

english

File:

PDF, 305 KB

english, 2012

20

On the complexity of solving quadratic Boolean systems

Bardet, Magali, Faugère, Jean-Charles, Salvy, Bruno, Spaenlehauer, Pierre-Jean

Journal:

Journal of Complexity

Year:

2013

Language:

english

File:

PDF, 629 KB

english, 2013

21

On the complexity of the generalized MinRank problem

Faugère, Jean-Charles, Safey El Din, Mohab, Spaenlehauer, Pierre-Jean

Journal:

Journal of Symbolic Computation

Year:

2013

Language:

english

File:

PDF, 456 KB

english, 2013

22

Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic

Luk Bettale, Jean-Charles Faugère, Ludovic Perret

Journal:

Designs, Codes and Cryptography

Year:

2013

Language:

english

File:

PDF, 843 KB

english, 2013

23

On the complexity of the BKW algorithm on LWE

Albrecht, Martin R., Cid, Carlos, Faugère, Jean-Charles, Fitzpatrick, Robert, Perret, Ludovic

Journal:

Designs, Codes and Cryptography

Year:

2015

Language:

english

File:

PDF, 394 KB

english, 2015

24

Mathematical and computer algebra techniques in cryptology

Faugère, Jean-Charles, Gómez-Pérez, Domingo, Gutierrez, Jaime, Perret, Ludovic

Journal:

Journal of Symbolic Computation

Year:

2014

Language:

english

File:

PDF, 126 KB

english, 2014

25

[ACM Press the 36th international symposium - San Jose, California, USA (2011.06.08-2011.06.11)] Proceedings of the 36th international symposium on Symbolic and algebraic computation - ISSAC '11 - Fast algorithm for change of ordering of zero-dimensional Gröbner bases with sparse multiplication matrices

Faugère, Jean-Charles, Mou, Chenqi

Year:

2011

Language:

english

File:

PDF, 433 KB

english, 2011

26

[ACM Press the 2003 international symposium - Philadelphia, PA, USA (2003.08.03-2003.08.06)] Proceedings of the 2003 international symposium on Symbolic and algebraic computation - ISSAC '03 - Changing the ordering of Gröbner bases with LLL

Basiri, Abdolali, Faugère, Jean-Charles

Year:

2003

Language:

english

File:

PDF, 195 KB

english, 2003

27

A Distinguisher for High-Rate McEliece Cryptosystems

Faugere, Jean-Charles, Gauthier-Umana, Valerie, Otmani, Ayoub, Perret, Ludovic, Tillich, Jean-Pierre

Journal:

IEEE Transactions on Information Theory

Year:

2013

Language:

english

File:

PDF, 4.01 MB

english, 2013

28

[IEEE 2011 IEEE Information Theory Workshop (ITW) - Paraty, Brazil (2011.10.16-2011.10.20)] 2011 IEEE Information Theory Workshop - A distinguisher for high rate McEliece cryptosystems

Faugere, Jean-Charles, Gauthier-Umana, Valerie, Otmani, Ayoub, Perret, Ludovic, Tillich, Jean-Pierre

Year:

2011

Language:

english

File:

PDF, 498 KB

english, 2011

29

[IEEE 2007 IEEE International Symposium on Information Theory - Nice (2007.06.24-2007.06.29)] 2007 IEEE International Symposium on Information Theory - On formulas for decoding binary cyclic codes

Augot, Daniel, Bardet, Magali, Faugere, Jean-Charles

Year:

2007

Language:

english

File:

PDF, 361 KB

english, 2007

30

[IEEE 2014 IEEE International Symposium on Information Theory (ISIT) - Honolulu, HI, USA (2014.6.29-2014.7.4)] 2014 IEEE International Symposium on Information Theory - Structural weakness of compact variants of the McEliece cryptosystem

Faugere, Jean-Charles, Otmani, Ayoub, Perret, Ludovic, de Portzamparc, Frederic, Tillich, Jean-Pierre

Year:

2014

Language:

english

File:

PDF, 328 KB

english, 2014

31

Structural cryptanalysis of McEliece schemes with compact keys

Faugère, Jean-Charles, Otmani, Ayoub, Perret, Ludovic, de Portzamparc, Frédéric, Tillich, Jean-Pierre

Journal:

Designs, Codes and Cryptography

Year:

2016

Language:

english

File:

PDF, 439 KB

english, 2016

32

[ACM Press the 2009 international symposium - Seoul, Republic of Korea (2009.07.28-2009.07.31)] Proceedings of the 2009 international symposium on Symbolic and algebraic computation - ISSAC '09 - Interactions between computer algebra (Gröbner bases) and cryptology

Faugère, Jean-Charles

Year:

2009

Language:

english

File:

PDF, 303 KB

english, 2009

33

Polly Cracker, revisited

Albrecht, Martin R., Faugère, Jean-Charles, Farshim, Pooya, Herold, Gottfried, Perret, Ludovic

Journal:

Designs, Codes and Cryptography

Year:

2016

Language:

english

File:

PDF, 791 KB

english, 2016

34

On the complexity of the F5

Bardet, Magali, Faugère, Jean-Charles, Salvy, Bruno

Journal:

Journal of Symbolic Computation

Year:

2015

Language:

english

File:

PDF, 592 KB

english, 2015

35

[ACM Press the twenty-first international symposium - Linz/Hagenberg, Austria (2008.07.20-2008.07.23)] Proceedings of the twenty-first international symposium on Symbolic and algebraic computation - ISSAC '08 - Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities

Faugère, Jean-Charles, Moroz, Guillaume, Rouillier, Fabrice, El Din, Mohab Safey

Year:

2008

Language:

english

File:

PDF, 657 KB

english, 2008

36

[ACM Press the 4th International Workshop - Grenoble, France (2010.07.21-2010.07.23)] Proceedings of the 4th International Workshop on Parallel and Symbolic Computation - PASCO '10 - Parallel Gaussian elimination for Gröbner bases computations in finite fields

Faugère, Jean-Charles, Lachartre, Sylvain

Year:

2010

Language:

english

File:

PDF, 437 KB

english, 2010

37

Polynomial-time algorithms for quadratic isomorphism of polynomials: The regular case

Berthomieu, Jérémy, Faugère, Jean-Charles, Perret, Ludovic

Journal:

Journal of Complexity

Year:

2015

Language:

english

File:

PDF, 542 KB

english, 2015

38

[ACM Press the 37th International Symposium - Grenoble, France (2012.07.22-2012.07.25)] Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation - ISSAC '12 - Solving polynomial systems globally invariant under an action of the symmetric group and application to the equilibria of N vortices in the plane

Faugère, Jean-Charles, Svartz, Jules

Year:

2012

Language:

english

File:

PDF, 341 KB

english, 2012

39

[ACM Press the 37th International Symposium - Grenoble, France (2012.07.22-2012.07.25)] Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation - ISSAC '12 - Solving polynomial systems over finite fields

Bettale, Luk, Faugère, Jean-Charles, Perret, Ludovic

Year:

2012

Language:

english

File:

PDF, 245 KB

english, 2012

40

[ACM Press the 37th International Symposium - Grenoble, France (2012.07.22-2012.07.25)] Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation - ISSAC '12 - Critical points and Gröbner bases

Faugère, Jean-Charles, El Din, Mohab Safey, Spaenlehauer, Pierre-Jean

Year:

2012

Language:

english

File:

PDF, 443 KB

english, 2012

41

[ACM Press the 39th International Symposium - Kobe, Japan (2014.07.23-2014.07.25)] Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation - ISSAC '14 - Sparse Gröbner bases

Faugère, Jean-Charles, Spaenlehauer, Pierre-Jean, Svartz, Jules

Year:

2014

Language:

english

File:

PDF, 239 KB

english, 2014

42

[ACM Press the 2015 ACM - Bath, United Kingdom (2015.07.06-2015.07.09)] Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '15 - Linear Algebra for Computing Gröbner Bases of Linear Recursive Multidimensional Sequences

Berthomieu, Jérémy, Boyer, Brice, Faugère, Jean-Charles

Year:

2015

Language:

english

File:

PDF, 522 KB

english, 2015

43

[ACM Press the 38th international symposium - Boston, Maine, USA (2013.06.26-2013.06.29)] Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation - ISSAC '13 - Gröbner bases of ideals invariant under a commutative group

Faugere, Jean-Charles, Svartz, Jules

Year:

2013

Language:

english

File:

PDF, 495 KB

english, 2013

44

[ACM Press the 39th International Symposium - Kobe, Japan (2014.07.23-2014.07.25)] Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation - ISSAC '14 - Sub-cubic change of ordering for Gröbner basis

Faugère, Jean-Charles, Gaudry, Pierrick, Huot, Louise, Renault, Guénaël

Year:

2014

Language:

english

File:

PDF, 204 KB

english, 2014

45

Folding Alternant and Goppa Codes With Non-Trivial Automorphism Groups

Faugere, Jean-Charles, Otmani, Ayoub, Perret, Ludovic, de Portzamparc, Frederic, Tillich, Jean-Pierre

Journal:

IEEE Transactions on Information Theory

Year:

2016

Language:

english

File:

PDF, 401 KB

english, 2016

46

On the complexity of computing Gröbner bases for weighted homogeneous systems

Faugère, Jean-Charles, Safey El Din, Mohab, Verron, Thibaut

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 720 KB

english, 2016

47

The Arithmetic of Jacobian Groups of Superelliptic Cubics

Abdolali Basiri, Andreas Enge, Jean-Charles Faugère and Nicolas Gürel

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 681 KB

english, 2005

48

A survey on signature-based algorithms for computing Gröbner bases

Eder, Christian, Faugère, Jean-Charles

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 4.02 MB

english, 2016

49

Sparse FGLM algorithms

Faugère, Jean-Charles, Mou, Chenqi

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 1.44 MB

english, 2016

50

Linear algebra for computing Gröbner bases of linear recursive multidimensional sequences

Berthomieu, Jérémy, Boyer, Brice, Faugère, Jean-Charles

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 1.64 MB

english, 2016