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Robert Rolland

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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 &amp; 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 &amp; 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

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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
Russian Mathematical Surveys, 2021, 76 (1), pp.29-89. ⟨10.1070/RM9928⟩
Article dans une revue hal-03661954v1

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-01491790v1

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-01525617v1
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-01247155v1
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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-01260806v1

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-01241034v1

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-01165404v1

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-01231863v1

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-01079404v1

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-01079417v1

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-01079413v1

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-01079409v1

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-01079406v1

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-01079448v1

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-01079449v1

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-01099936v1

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-00770256v1
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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-00767463v1
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Codage & cryptage

Dany-Jack Mercier , Robert Rolland
Journal of Pure and Applied Algebra, 1998, 124, pp.227-240
Article dans une revue hal-00767441v1
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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
Communication dans un congrès hal-03657775v1

Randomnes in Cryptography

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

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-01219113v1

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-01086194v1

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-01086197v1

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-02882177v1
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PRODUIT TENSORIEL D'ESPACES VECTORIELS

Rolland Robert
École thématique. France. 2023, pp.26
Cours hal-04206823v1
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Fonctions de Möbius -Formule de Rota

Rolland Robert
École thématique. En ligne, France. 2015, pp.13
Cours hal-04207070v1
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L'ORGANISATION DE LA CRYPTOLOGIE MODERNE

Rolland Robert
3rd cycle. Oujda (Maroc), 2009, pp.48
Cours cel-00420483v1
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Signaux discrets périodiques

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