Publications

Revues internationales

  • Minh Cong TRAN, Borivoje DAKIĆ, François ARNAULT, Wiesław LASKOWSKI, Tomasz PATEREK
    Quantum entanglement from random measurements
    Physical Review A 92, 050330(R), 2015 paper.

  • Zoé AMBLARD, François ARNAULT
    A qutrit quantum key distribution protocol using Bell inequalities with larger violation capabilities
    Quantum Information and Computation, 15(15&16), 1295-1306 (2015) paper.

  • François ARNAULT
    A complete set of multidimensional Bell inequalities
    Journal of Physics A: Mathematical and Theoretical, 45, 255304 (2012)
    DOI: 10.1088/1751-8113/45/25/255304, paper, preprint.

  • François ARNAULT, Stéphane VINATIER, Erik Jarl PICKETT
    Construction of self-dual normal bases and their complexity
    Finite Fields and Applications, 18(2), 458-472 (2012)
    DOI: 10.1016/j.ffa.2011.10.002, paper, preprint.

  • François ARNAULT, Thierry P. BERGER, Marine MINIER, Benjamin POUSSE
    Revisiting LFSRs for cryptographic applications
    IEEE, Transactions on Information Theory, 57(12), 8195-8113.
    DOI: 10.1109/TIT.2011.2164234

  • François ARNAULT, Thierry P. BERGER, Benjamin POUSSE
    A matrix approach for FCSR automata
    Cryptography and Communications (Discrete Structures, Boolean functions and Sequences), 3, 109-139 (2011).
    DOI: 10.1007/s12095-010-0041-z

  • François ARNAULT, Thierry P. BERGER, Marine MINIER
    Some results on FCSR automata with application to the security of FCSR-based pseudorandom generators
    IEEE, Transactions on Information Theory, 54(2), 836-840 (2008).

  • François ARNAULT, Thierry P. BERGER
    Design and properties of a new pseudo-random generator based on a filtered FCSR automaton
    IEEE, Transactions on Computers, 54(11), 1374-1383 (2005).

  • François ARNAULT, Thierry P. BERGER, Abdelkader NECER
    Feedback with Carry Shift Registers synthesis with the Euclidean algorithm
    IEEE Trans. Inform. Theory, 50(5), 910-916 (2004).

  • François ARNAULT
    The Rabin-Monier theorem for Lucas pseudoprimes
    Mathematics of Computation, vol. 66, No 218, 869-881 (1997).

  • François ARNAULT
    Constructing Carmichael numbers which are strong pseudoprimes to several bases
    Journal of Symbolic Computation, vol 20, No 2, pp 151-161 (1995).

  • François ARNAULT
    The Rabin-Miller primality test : Composite numbers which pass it
    Mathematics of Computation, vol. 64, No 209, 355-361 (1995), paper.



    Lectures Notes

  • François ARNAULT
    Multidimensional Bell inequalities and quantum cryptography
    (In S. El Hajji, A. Nitaj, C. Carlet, E.M. Souidi editors) Proceedings of C2SI Rabat 2015, LNCS 9084, 3-13 (2015).

  • François ARNAULT, Thierry P. BERGER, Cédric LAURADOUX, Marine MINIER, Benjamin POUSSE
    A New Approach for FCSRs
    (In Michael J. Jacobson Jr., Vincent Rijmen, Reihaneh Safavi-Naini editors) Proceedings of Selected Areas in Cryptography 2009, LNCS 5867, 433-448 (2009).

  • François ARNAULT, Thierry P. BERGER, Cédric LAURADOUX
    F-FCSR Stream Ciphers
    (In M. Robshaw, O. Billet editors) New Stream Cipher Designs, LNCS 4986, 170-178 (2008).

  • François ARNAULT, Thierry P. BERGER, Cédric LAURADOUX, Marine MINIER
    X-FCSR - a new software oriented stream cipher based upon FCSRs
    (In K. Srinathan, C. Pandu Rangan, Moti Yung editors) Proceedings of INDOCRYPT 2007, LNCS 4859, 341-350 (2007).

  • François ARNAULT, Thierry P. BERGER
    F-FCSR: design of a new class of stream ciphers
    (In H. Handschuh H. Gilbert editors) Proceedings of Fast Softward Encryption 2005, LNCS 3557, 83-87 (2005).

  • François ARNAULT, Thierry P. BERGER, Abdelkader NECER
    A new class of stream ciphers combining LFSR and FCSR architectures
    Proceedings of INDOCRYPT 2002, LNCS 2551, 22-33 (2002).

  • François ARNAULT, Thierry P. BERGER, Abdelkader NECER
    Feedback with Carry Shift Registers synthesis with the Euclidean algorithm
    Proceedings of IEEE ISIT 02, Lausanne, Suisse, 69 (2002).



    Conférences

  • François ARNAULT
    Higher dimensional Bell inequalities and quantum cryptography
    Exposé invité, ICCC'15 Conference, Alger (nov. 2015).

  • Zoé AMBLARD, François ARNAULT
    A Quantum key distribution protocol for qudits with better noise resistance
    QCrypt 2015 Conference (poster), Tokyo (sept. 2015).

  • François ARNAULT
    Multidimensional Bell inequalities and quantum cryptography
    Exposé invité, C2SI conference, Rabat (mai 2015).

  • François ARNAULT, Thierry P. BERGER, Marine MINIER
    On the security of FCSR-based pseudorandom generators
    In SASC-07, the state of the Art of Stream Ciphers, Bochum, Germany, 179-190 (2007).

  • Thierry P. BERGER, François ARNAULT, Cédric LAURADOUX
    Update on F-FCSR Stream Cipher
    In SASC-06, Leuven, Belgium, 267-277 (2006).

  • Thierry P. BERGER, François ARNAULT, Cédric LAURADOUX
    Description of F-FCSR-8 and F-FCSR-H stream ciphers
    In SKEW - Symmetric Key Encryption Workshop, Aarhus, Danemark (2005).

  • François ARNAULT, Thierry P. BERGER
    Design of new pseudo random generators based on a filtered FCSR automaton
    In SASC-04, Brugge, Belgium (2004).



    ArXiv

  • Zoé AMBLARD, François ARNAULT
    A Quantum Key Distribution protocol for qudits with better noise resistance
    arXiv:1504.08161 [quant-ph] (2015)

  • Minh Cong TRAN, Borivoje DAKIĆ, François ARNAULT, Wiesław LASKOWSKI, Tomasz PATEREK
    Random correlations detect and characterise quantum entanglement
    arXiv:1411.4755 [quant-ph] (2014)

  • François ARNAULT, Zoé AMBLARD
    A qutrit Quantum Key Distribution protocol with better noise resistance
    arXiv:1404.4199 [quant-ph] (2014)

  • François ARNAULT
    Formes quadratiques de discriminants emboîtés
    arXiv:1402.0344 [math.NT] (2014)

  • François ARNAULT
    A complete set of multidimensional Bell inequalities
    arXiv:1107.2255 [quant-ph] (2011)

  • François ARNAULT, Erik Jarl PICKETT, Stéphane VINATIER
    Construction of self-dual normal bases and their complexity
    arXiv:1007.4899 [math.NT] (2010)

  • François ARNAULT, Thierry P. BERGER, Marine MINIER, Benjamin POUSSE
    Revisiting LFSMs / Revisiting LFSRs for cryptographic applications
    arXiv:1004.4806 [cs.CR] (2010)



    Mémoires

  • Contributions en Mathématiques Discrètes et Applications Cryptographiques
    Habilitation à Diriger des Recherches, Université de Limoges, le 12 novembre 2014.
    hdr.pdf

  • Sur quelques tests probabilistes de primalité
    Thèse de l'Université de Poitiers (1993)
    these.pdf