Publications de Carlet :
On the construction of bent vectorial functions.
C.Carlet and S. Mesnager. Int. J. Information and Coding Theory: Algebraic and Combinatorial Coding Theory, Volume 1, No. 2, pages 133-148, 2010.
Boolean Functions for Cryptography and Error Correcting Codes.
C. Carlet. Chapter of the monography ``Boolean Models and Methods in Mathematics, Computer Science, and Engineering" published by Cambridge University Press, Yves Crama and Peter L. Hammer (eds.). pp. 257-397, 2010.
Vectorial Boolean Functions for Cryptography.
C. Carlet. Chapter of the monography ``Boolean Models and Methods in Mathematics, Computer Science, and Engineering\" published by Cambridge University Press, Yves Crama and Peter L. Hammer (eds.), 2010. .
Constructing new APN functions from known ones.
L. Budaghyan, C. Carlet and G. Leander. Finite Fields and Applications 15(2), pp. 150-159, 2009.
Further properties of several classes of Boolean functions with optimum algebraic immunity.
C. Carlet, X. Zeng, C. Li and L. Hu. Designs, Codes and Cryptography, Volume 52 , Issue 3, pp. 303-338, 2009.
Relating three nonlinearity parameters of vectorial functions and building APN functions from bent.
Designs, Codes and Cryptography. C. Carlet. Vol. 59, No. 1, Page 89--109, 2011.
CCZ-equivalence of single and multi output Boolean functions.
L. Budaghyan and C. Carlet. AMS Contemporary Math. 518, Post-proceedings of the conference Fq9, pp. 43-54, 2010.
On the algebraic immunities and higher order nonlinearitie of vectorial Boolean functions.
C. Carlet. NATO Science for Peace and Security Series, D: Information and Communication Security - Vol 23; Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes}, pp. 104-116, 2009. Invited paper.
On a construction of quadratic APN functions.
L. Budaghyan, C. Carlet and G. Leander. Proceedings of ITW 2009.
On a conjecture about binary strings distribution.
J-P. Flori, H. Randriambololona et G. Cohen et S. Mesnager. Proceedings of 6 th International conference Sequences and Their Applications, Paris, France. C. Carlet and A. Pott (Eds.): SETA 2010, LNCS 6338, pp. 346-358. Springer, Heidelberg (2010).
Sequences, Boolean functions, and Cryptography.
C. Carlet and T. Helleseth, chapitre du ``Handbook of Codes, Sequences and Their Applications``, publie par CRC Press, Serdar Boztas (ed.), A paraitre.
Boolean functions.
C. Carlet, Section du ``Handbook of Finite Fields``, publie par CRC Press, Gary Mullen and Daniel Panario (eds.) A paraitre.
On known and new differentially uniform functions.
C. Carlet. Proceedings of the 16th Australasian Conference on Information Security and Privacy ACISP 2011, Lecture Notes in Computer Science 6812, pages 1-15, 2011 (conference invitee).
On the Dual of Bent Functions with $2^r$ Niho Exponents.
C. Carlet, T. Helleseth, S. Kholosha and S. Mesnager. Proceedings of ISIT 2011, Saint Petersburg, 2011.
On Bent Functions Associated to AB Functions.
L. Budaghyan, C. Carlet and T. Helleseth. Proceedings of IEEE Information Theory Workshop 2011.
Self-dual bent functions.
C. Carlet, L. E. Danielsen, M. Parker and P. Solé. Special Issue of the International Journal of Information and Coding Theory (IJICoT) dedicated to Vera Pless, Volume 1, No. 4, pp. 384-399, 2010.
CCZ-equivalence of Bent Vectorial Functions and Related Constructions.
L. Budaghyan and C. Carlet. Designs, Codes and Cryptography, Vol. 59, No. 1-3 , pp. 69-87, 2011.
Comment on ``Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials``.
C. Carlet. IEEE Transactions on Information Theory Vol. 57, no. 7, pp. 4852 - 4853 , 2011.
More Balanced Boolean Functions with Optimal Algebraic Immunity, and Good Nonlinearity and Resistance to Fast Algebraic Attacks.
X. Zeng, C. Carlet, L. Hu and J. Shan. IEEE Transactions on Information Theory, Vol. 57, pp. 6310-6320, 2011.
On Dillon's class $H$ of bent functions, Niho bent functions and o-polynomials.
C. Carlet and S. Mesnager. Journal of Combinatorial Theory Series A 118, pp. 2392-2410, 2011.
More vectorial Boolean functions with unbounded nonlinearity profile.
C. Carlet. Special Issue on Cryptography of International Journal of Foundations of Computer Science, to appear, 2011.
On Semi-bent Boolean Functions.
C. Carlet et S. Mesnager, IEEE Transactions on Information Theory, Vol 58, No 5, pages: 3287-3292, 2012.
On Dillon’s class H of Niho bent functions and o-polynomials.
C. Carlet et S. Mesnager, Symposium on Artificial Intelligence and Mathematics (ISAIM 2012), Fort Lauderdale, Floride, USA, Janvier 2012.
Further results on Niho bent functions.
L. Budaghyan, C. Carlet, T. Helleseth, A. Kholosha et S. Mesnager, IEEE Transactions on Information Theory-IT. Vol 58, No 11, pages 6979-6985, 2012.