Robert Rolland

38
Documents

Présentation

Robert Rolland, né à Marseille en 1945, ancien élève de l'ENSET (actuellement ENS Cachan) promotion 1965, agrégé de mathématiques et titulaire d'une Habilitation à Diriger des Recherches (HDR). Il a été Directeur de l'IREM d'Aix-Marseille et il est actuellement chercheur émérite à l'Institut de Mathématiques de Marseille (Université d'Aix-Marseille).
Derniers livres publiés : "Géométrie projective" aux éditions Ellipses (Juin 2015), "Théorie de la mesure et de l'intégration - cours et exercices corrigés" aux éditions Ellipses (Mai 2017).

Publications In International Journals

2021 Stéphane Ballet, Julia Pieltant, Matthieu Rambaud, Robert Rolland, Jean Chaumine On the tensor rank of multiplication in finite extension of finite fields and related issues in algebraic geometry. Uspekhi Mat. Nauk, 2021, Volume 76, Issue 1(457), Pages 31-94 (Mi umn9928) (Russian Mathematical Surveys 76:1 29–89) DOI: https://doi.org/10.1070/RM9928

2017

Kevin Atighehchi, Robert Rolland

Optimization of Tree Modes for Parallel Hash Functions : A Case Study

Transactions on Computers, IEEE, volume 66 Issue 9, September 1, 2017, 1585-1598

2017

Kevin Atighehchi, Stéphane Ballet, Alexis Bonnecaze, Robert Rolland

Arithmetic in Finite Fields based on Chudnovsky's multiplication algorithm

Mathematics of computation, Volume 86, Number 308, November 2017, 2975-3000

doi: https://doi.org/10.1090/mcom/3230

2016

Miriam Abdon, Robert Rolland

Hamming distances from a function to all codewords of a Generalized Reed-Muller code

of order one

Applicable Algebra in Engineering, Communication and computing, Volume 28, Number 5, November 2017, 387-408

doi 10.1007/s00200-016-0311-x

2016

Kevin Atighehchi, Stéphane Ballet, Alexis Bonnecaze, Robert Rolland

Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm.

Comptes Rendus Mathématique, Volume 354, Number 2, pp 137-141, February 2016

2015

Ballet Stéphane, Rolland Robert, Tutdere Seher

Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields. Moscow Mathematical Journal, Volume 15, Number 4, pp. 653–677, October-December 2015.

2015

Ballet Stéphane, Rolland Robert, Tutdere Seher.

Lower Bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers. Moscow Mathematical Journal, Volume 15, Number 3, pp 425-433, July – September 2015.

2015 Lachaud Gilles, Rolland Robert. On the Number of Points of Algebraic Sets over Finite Fields, Journal of Pure and Applied Algebra 219 (2015) pp 5117–5136.

2014

Ballet Stéphane, Rolland Robert.

On low weight codewords of generalized affine and projective Reed-Muller codes.

Designs, Codes and Cryptography, Volume 73, Issue 2, pp 271-297, November 2014 DOI 10.1007/s10623-013-9911-7, 2014.

2012

Ballet Stéphane, Rolland Robert.

Lower bounds on the class number of algebraic function fields defined over any finite field.

Journal de Théorie des nombres de Bordeaux, T. 24, N. 3 (2012), p. 505-540.

2011

Ballet Stéphane, Rolland Robert.

Minoration du nombre de classes des corps de fonctions algébriques définis sur un corps fini.

C.R. Acad. Sci. Paris, Ser. I, 349, 709--712, 2011, doi:10.1016/j.crma.2011.06.016, 2011.

2011

Ballet Stéphane, Rolland Robert.

A note on a Yao's theorem about pseudo-random generators.

Cryptography and Communications, Vol. 3 N. 4 (2011), Page 189-206 doi: 10.1007/s12095-011-0047-1, Springer, 2011.

2011

Ballet Stéphane, Rolland Robert.

Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound.

Publ. Math. Univ. Franche-Comté Besançon Algèbr. Theor. 5-18, 2011.

2010

Rolland Robert. The second weight of generalized Reed-Muller codes in most cases. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, Vol. 2, N. 1, April 2010

2009

Ballet Stéphane, Ritzenthaler Christophe, Rolland Robert. On the existence of dimension zero divisors in algebraic function fields defined over F_q. Acta Arithmetica, 143, N°4, 377--392, 2010

2004

Ballet Stéphane, Rolland Robert, Multiplication algorithm in a finite field and tensor rank of the multiplication.

Journal of Algebra, Vol 272/1, 173--185, 2004.

2000

Lachaud Gilles, Lucien Isabelle, Mercier Dany-Jack and Rolland Robert, Group structure on projective spaces and cyclic codes over finite fields, Finite Fields and Their Applications 6, no.2, pp.119-129 (available on Ideal), 2000

1998

Mercier Dany-Jack and Rolland Robert, Polynômes homogènes qui s'annulent sur l'espace projectif Pm (Fq) [Homogeneous polynomials that vanish on the projective space Pm (Fq)],

J. Pure Appl. Algebra 124, no. 1-3, 227--240, 1998

1996

Cherdieu Jean Pierre and Rolland Robert,

On the number of points of some hypersurfaces in Fnq,

Finite Fields Appl. 2, no. 2, 214--224, 1996

1992

Rolland Robert

The number of MDS [7,3] codes on finite fields of characteristic 2,

Appl. Algebra Engrg. Comm. Comput. 3, no. 4, 301--310, 1992

1988

Dumas P, Humbert A, Mathieu G, Mathiez P, Mouttet C, Rolland R, Salvan F, Thibaudau F.

Scanning Tunneling Microscopy Studies on AU/SI(111) interfaces

Journal of Vacuum Science & Technologie A-vacuum surfaces and films Vol. 6, Issue 2, p. 517-518 interfaces

Mars-April 1988

1988

Dumas P, Humbert A, Mathieu G, Mathiez P, Mouttet C, Rolland R, Salvan F, Thibaudau F, Tosh S .

Structure of the AU/SI(111) surface by scanning tunneling microscopy

Physica Scripta Vol. 38 N. 2 1988

1971

Rolland Robert

Sur l'existence et l'unicité de bases complémentairement universelles pour quelques classes de bases d'espaces de Banach,

C. R. Acad. Sci. Paris Sér. A-B 272, A1567--A1569, 1971

Refereed Publications In Proceedings of International Conferences

2022 Stéphane Ballet, Robert Rolland Chaining Multiplications in Finite Fields with Chudnovsky-type Algorithms and Tensor Rank of the k-multiplication Lecture Notes in Computer Science book series book series (LNCS,volume 13706) DOI: 10.1007/978-3-031-19685-0_1 p. 3--14

2021 Stéphane Ballet, Gilles Lachaud, Robert Rolland On the number of effective divisors in algebraic function fields defined over a finite field in Arithmetic, Geometry, Cryptography and Coding Theory AMS - Contemporary Mathematics vol 770 DOI: https://doi.org/10.1090/conm/770 p. 29--50

2015

Poulakis Dimitrios, Rolland Robert

A Digital Signature Scheme Based on Two Hard Problems

In Computation, Cryptography, and Network Security

Conference held in April 2013 at the Hellenic Military Academy

Athens, Greece, p. 441-450 Springer 2015

2015

Rolland Robert

Randomnes in Cryptography

In Computation, Cryptography, and Network Security

Conference held in April 2013 at the Hellenic Military Academy

Athens, Greece, p. 451-459 Springer 2015

2013

Ballet Stéphane, Rolland Robert.

On low weight codewords of generalized affine and projective Reed-Muller codes (Extended abstract).

Pre-proceedings of International Workshop on Coding and Cryptography. (WCC2013)

http://www.selmer.uib.no/WCC2013/PreProceedings.pdf

2010

Atighehchi Kévin, Muntean Traian, Parlanti Sylvain, Rolland Robert, Vallet Laurent. A Key Forwarding Protocol for Secure Communicating Systems, Proceedings of SYNASC 2010, 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. Timisoara, Romania, p. 339-346 IEEE 2010

2010

Ivey-Law Hamish, Rolland Robert. Constructing a database of cryptographically strong elliptic curves. Proceedings of SAR-SSI 2010: Fifth Conference on Network and Information Systems Security (SAR/SSI 2010), Rocquebrune Cap-Martin, France.

2009

Ballet Stéphane, Le Brigand Dominique, Rolland Robert. On an application of the definition field descent of a tower of function fields. Proceedings of the Conference "Arithmetic, Geometry and Coding Theory" (AGCT 2005), Société Mathématique de France, sér. Séminaires et Congrès 21, 187--203, 2009.

2008

Robert Rolland, Number of points of non-alsolutely irreducible hypersurfaces, In Proceedings of the First SAGA Conference, Series on Number Theory and Its Applications, World Scientific, Vol. 5, p. 481-487, 2008

2005

Ballet Stéphane, Rolland Robert, On the bilinear complexity of the multiplication in finite fields.

Proceedings of the Conference "Arithmetic, Geometry and Coding Theory" (AGCT 2003), Société Mathématique de France, sér. Séminaires et Congrès 11, 179--188, 2005.

1996

Cherdieu Jean Pierre and Rolland Robert,

On hypersurfaces defined by a separated variables polynomial over a finite field,

Arithmetic, geometry and coding theory (Luminy, 1993), 35--43, de Gruyter, Berlin, 1996

1996

Rolland Robert and Skorobogatov Alexei N.,

Dénombrement des configurations dans le plan projectif [Enumeration of configurations in the projective plane],

Arithmetic, geometry and coding theory (Luminy, 1993), 199--207, de Gruyter, Berlin, 1996

Editor of Proceedings

2014

Muntean Traian, Rolland Robert, Mugwaneza Léon (Editors).

13th International Symposium on Parallel and Distributed Computing

ISPDC 2014, IEEE Computer Society, 2014

2013

Muntean, Traian, Poulakis, Dimitrios, Rolland Robert (Editors).

Algebraic Informatics, 5th International Conference on Algebraic Informatics, CAI 2013, Lecture Notes in Computer Science Vol. 8080, 2013.

2010

Kohel David, Rolland Robert (Editors). Arithmetic, Geometry, Cryptography and Coding Theory 2009, Contemporary Mathematics, AMS, Vol. 521 (2010).

2008

Jean Chaumine, James Hirschfeld & Robert Rolland, (Editors) Algebraic Geometry and Its Applications, Dedicated to Gilles Lachaud on His 60th Birthday, Proceedings of the First SAGA Conference, Series on Number Theory and Its Applications, World Scientific, Vol. 5, 2008

National Journal****s

2011

Barthélemy Pierre, Rolland Robert.

L'emploi de la cryptographie pour la sécurisation des données sur clés USB.

Sécurité de l'Information, N. 11, Mars 2011, CNRS.

2007

Rolland Robert, Sécurité des systèmes de chiffrements à clé publique basés sur le problème du logarithme discret..

In : Journée annuelle de la Société Mathématique de France: Nouvelles Méthodes Mathématiques en Cryptographie, 23 Juin 2007.

Books

2017

Robert Rolland,

Théorie de la mesure et de l’intégration

Cours et exercices corrigés

Collection Références Sciences, Éditions Ellipses, 2017

ISBN : 9782340017467

2015

Robert Rolland,

Géométrie Projective

Collection Références Sciences, Éditions Ellipses, 23 juin 2015

ISBN : 9782340005051

2012

Barthélemy Pierre, Rolland Robert, Véron Pascal. Cryptographie : principes et mises en oeuvre, 2e édition revue et augmentée

Ouvrage, Edition Hermès Science, collection informatique, 2012.

Librairie Lavoisier ISBN-10: 2746238160

ISBN-13: 978-2746238169

2005

Barthélemy Pierre, Rolland Robert, Véron Pascal, Cryptographie : principes et mises en oeuvre.

Ouvrage, Edition Hermès Science, collection informatique, 2005.

Librairie Lavoisier ISBN-10: 2746211505

ISBN-13: 978-2746211506

1994

Maltret J.L. and Rolland Robert,

Mathématiques Algorithmique et Informatique,

Ellipses, ISBN 2-7298-9410-1, 1994

1979

Rolland Robert

Théorie des séries. 2 [Theory of series. 2] Séries entières [Power series] With the collaboration of Y. Chevallard,

CEDIC, Paris. 139 pp. ISBN: 2-7124-0713-X, 1979

1979

Chevallard Y, With the collaboration of Robert Rolland.

Théorie des séries. 1 [Theory of series. 1] Séries numériques. [Numerical series],

CEDIC, Paris. 234 pp. ISBN: 2-7124-0712-1, 1979

Chapter****s in Books

2011

Lectures sur les Mathématiques, l'Enseignement et les concours, Volume 4, sous la direction de Dany-Jack Mercier.

Robert Rolland : Problèmes choisis, p. 69-144

2010

Lectures sur les Mathématiques, l'Enseignement et les concours, Volume 2, sous la direction de Dany-Jack Mercier.

Robert Rolland : Fonctions d'une variable complexe, p. 57-137

2009

Lectures sur les Mathématiques, l'Enseignement et les concours, Volume 1, sous la direction de Dany-Jack Mercier.

Robert Rolland : Outils élémentaires de l'Analyse, p. 163-223

1997

Rolland Robert, Convexité,

Encyclopaedia Universalis, article repris dans Encyclopaedia Universalis, Dictionnaire des Mathématiques, Albin Michel, ISBN 2-226-09423-7, 1997

1997

Rolland Robert and Verley Jean-Luc., Normés (Espaces Vectoriels),

Encyclopaedia Universalis, article repris dans Encyclopaedia Universalis, Dictionnaire des Mathématiques Albin Michel, ISBN 2-226-09423-7,1997

1993

Barthelemy Pierre and Rolland Robert, WAIS, Wide Area Information Server,

L'Internet Professionnel, CNRS Editions, ISBN 2-271-05256 and also in Revue Tribunix, vol.9, n.51 (sept.-oct.1993), pp.11-21. Ed.AFUU, 1993

Participation in a book

1995

A. Poli with participation from L. Bénéteau, F. Cortial, M.C. Gennero, Ll. Huguet, H. Imai, R. Kohno, J.P. Rocher, R. Rolland. Exercices sur les Codes Correcteurs : 600 exercices corrigés. MASSON ed., (220 pages).

ArXiv, HAL et Researchgate

2015

Robert Rolland

fonctions maximalement non-linéaires sur un corps fini

Researchgate 287207746

2015

Kevin Atighehechi, Robert Rolland

Optimization of Tree Modes for Parallel Hash Functions

ArXiv:1512.05864

2015

Miriam Abdon, Robert Rolland

Hamming distances from a function to all codewords of a Generalized Reed-Muller code of order one

ArXiv:1512.04788

2015

Kevin Atighehchi, Stéphane Ballet, Alexis Bonnecaze, Robert Rolland

On Chudnovsky-Based Arithmetic Algorithms in Finite Fields

ArXiv:1510.00090

2014

Lachaud Gilles, Rolland Robert.

On the Number of Points of Algebraic Sets over Finite Fields.

ArXiv: 1405.3027

2013

Ballet Stéphane, Rolland Robert, Tutdere Seher.

Lower Bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers.

arXiv:1303.5822

2013

Ballet Stéphane, Rolland Robert.

Remarks on low weight codewords of generalized affine and projective Reed-Muller codes (full paper). arXiv:1203.5244

2012

Bonnecaze Alexis, Rolland Robert.

Collecting Data while Preserving Individual's Privacy: a case study.

Cryptology ePrint Archive, 2012/603

2012

Poulakis Dimitrios, Rolland Robert.

A digital Signature Scheme for Long-Term Security.

Cryptology ePrint Archive 2012/134

2011

Ballet Stéphane, Chaumine Jean, Pieltant Julia, Rolland Robert.

On the tensor rank of multiplication in finite extensions of finite fields. arXiv:1107.1184

2009

Ballet Stéphane, Rolland Robert.Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds. arXiv:0906.5432v1

2009

Robert Rolland. The second weight of generalized Reed-Muller codes in most cases. ArXiv:0902.0058

2009

Ballet Stéphane, Ritzenthaler Christophe, Rolland Robert. On the existence of dimension zero divisors in algebraic function fields defined over F_q. ArXiv:0906.5216

2009

Robert Rolland. L'organisation de la cryptologie moderne. HAL Id : cel-00420483, version 1

2004

Ballet Stéphane, Le Brigand Dominique, Rolland Robert. Descent of the definition field of a tower of function fields and applications. ArXiv:math/0409173

Publications

Publications

Image document

On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry

Stéphane Ballet , Julia Pieltant , Jean Chaumine , Matthieu Rambaud , Hugues Randriambololona et al.
Russian Mathematical Surveys, 2021, 76 (1), pp.29-89. ⟨10.1070/RM9928⟩
Article dans une revue hal-03661954 v1
Image document

Optimization of Tree Modes for Parallel Hash Functions : A case study

Kevin Atighehchi , Robert Rolland
IEEE Transactions on Computers, 2017, 66 (9), pp.1585-1598. ⟨10.1109/TC.2017.2693185⟩
Article dans une revue hal-01247155 v1

Hamming distances from a function to all codewords of a Generalized Reed-Muller code of order one

Rolland Robert , Miriam Abdon
Applicable Algebra in Engineering, Communication and Computing, 2017, 28 (5), pp.387-408. ⟨10.1007/s00200-016-0311-x⟩
Article dans une revue hal-01525617 v1

Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm

Kevin Atighehchi , Stéphane Ballet , Alexis Bonnecaze , Robert Rolland
Mathematics of Computation, 2017, 86 (308), pp.2975 - 3000. ⟨10.1090/mcom/3230⟩
Article dans une revue hal-01491790 v1
Image document

Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm

Kévin Atighehchi , Stéphane Ballet , Alexis Bonnecaze , Robert Rolland
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2016, 354, pp.137-141. ⟨10.1016/j.crma.2015.12.001⟩
Article dans une revue hal-01260806 v1

Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields

Stéphane Ballet , Robert Rolland , Seher Tutdere
Moscow Mathematical Journal, 2015, 15 (4), pp.653-677
Article dans une revue hal-01241034 v1

On the Number of Points of Algebraic Sets over Finite Fields

Gilles Lachaud , Robert Rolland
Journal of Pure and Applied Algebra, 2015, 219, pp.5117-5136. ⟨10.1016/j.jpaa.2015.05.008⟩
Article dans une revue hal-01165404 v1

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
Moscow Mathematical Journal, 2015, 15 (3), pp.425-433. ⟨10.17323/1609-4514-2015-15-3-425-433⟩
Article dans une revue hal-01231863 v1

On low weight codewords of generalized affine and projective Reed-Muller codes.

Stéphane Ballet , Robert Rolland
Designs, Codes and Cryptography, 2014, 73, pp.271-297
Article dans une revue hal-01079404 v1

Lower bounds on the class number of algebraic function fields defined over any finite field. Journal de Théorie des nombres de Bordeaux.

Stéphane Ballet , Robert Rolland
Journal de Théorie des Nombres de Bordeaux, 2012, 24 (3), pp.505_540
Article dans une revue hal-01079417 v1

A note on a Yao's theorem about pseudo-random generators.

Stéphane Ballet , Robert Rolland
Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2011, 3 (4), pp.189-206
Article dans une revue hal-01079409 v1

Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound.

Stéphane Ballet , Robert Rolland
Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres, 2011, pp.5-18
Article dans une revue hal-01079406 v1

Minoration du nombre de classes des corps de fonctions algébriques définis sur un corps fini.

Stéphane Ballet , Robert Rolland
Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2011, 349, pp.709-712
Article dans une revue hal-01079413 v1

On the existence of dimension zero divisors in algebraic function fields defined over F_q.

Stéphane Ballet , Christophe Ritzenthaler , Robert Rolland
Acta Arithmetica, 2010, 143 (4), pp.377-392. ⟨10.4064/aa143-4-4⟩
Article dans une revue hal-01079449 v1

On the existence of dimension zero divisors in algebraic function fields defined over Fq

Christophe Ritzenthaler , Stephane Ballet , Rolland Robert
Acta Arithmetica, 2010, 143 (4), pp.377-392
Article dans une revue hal-01099936 v1

The second weight of generalized Reed-Muller codes in most cases

Robert Rolland
Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2010, 2 (1), pp.19-40. ⟨10.1007/s12095-009-0014-2⟩
Article dans une revue hal-01079448 v1

Group structure on projective spaces and cyclic codes over finite fields

Gilles Lachaud , Isabelle Lucien , Dany-Jack Mercier , Robert Rolland
Finite Fields and Their Applications, 2000, 6 (2), pp.119-129. ⟨10.1006/ffta.1999.0268⟩
Article dans une revue hal-00770256 v1
Image document

Polynômes homogènes à plusieurs variables sur un corps fini Fq qui s'annulent sur l'espace projectif Pm (Fq)

Dany-Jack Mercier , Robert Rolland
Journal of Pure and Applied Algebra, 1998, 124, pp.227-240
Article dans une revue hal-00767463 v1
Image document

Codage & cryptage

Dany-Jack Mercier , Robert Rolland
Journal of Pure and Applied Algebra, 1998, 124, pp.227-240
Article dans une revue hal-00767441 v1
Image document

On the number of effective divisors in algebraic function fields defined over a finite field

Stéphane Ballet , Gilles Lachaud , Rolland Robert
Arithmetic, Geometry, Cryptography and Coding Theory, May 2021, Marseille, France. ⟨10.1090/conm/770/15429⟩
Communication dans un congrès hal-03657775 v1

Randomnes in Cryptography

Robert Rolland
Computation, Cryptography, and Network Security, Apr 2013, Athènes, Greece
Communication dans un congrès hal-01219116 v1

A Digital Signature Scheme Based on Two Hard Problems

Dimitrios Poulakis , Robert Rolland
Computation, Cryptography, and Network Security, Apr 2013, Athènes, Greece
Communication dans un congrès hal-01219113 v1

A Key Forwarding Protocol for Secure Communicating Systems

Kévin Atighehchi , Traian Muntean , Sylvain Parlanti , Robert Rolland , Laurent Vallet
12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Sep 2010, Timisoara, Romania. pp.339-346
Communication dans un congrès hal-01086194 v1

On an application of the definition field descent of a tower of function fields

Stéphane Ballet , Dominique Lebrigand , Robert Rolland
Arithmetic, Geometry and Coding Theory (AGCT 2005), 2005, Marseille, France. pp.187-203
Communication dans un congrès hal-01086197 v1

Blind Transfer of Personal Data Achieving Privacy

Alexis Bonnecaze , Robert Rolland
Computational Mathematics and Variational Analysis, pp.25-32, 2020, ⟨10.1007/978-3-030-44625-3_2⟩
Chapitre d'ouvrage hal-02882177 v1
Image document

PRODUIT TENSORIEL D'ESPACES VECTORIELS

Rolland Robert
École thématique. France. 2023, pp.26
Cours hal-04206823 v1
Image document

Fonctions de Möbius -Formule de Rota

Rolland Robert
École thématique. En ligne, France. 2015, pp.13
Cours hal-04207070 v1
Image document

L'ORGANISATION DE LA CRYPTOLOGIE MODERNE

Rolland Robert
3rd cycle. Oujda (Maroc), 2009, pp.48
Cours cel-00420483 v1
Image document

Signaux discrets périodiques

Rolland Robert
École thématique. Signaux discrets périoqiquess, En ligne, France. 2008, pp.15
Cours hal-04207162 v1