Publications de Mesnager :
A new family of hyper-bent Boolean functions in polynomial form.
S. Mesnager. Proceedings of Twelfth International Conference on Cryptography and Coding. Cirencester, United Kingdom. M. G. Parker (Ed.): IMACC 2009, LNCS 5921, pp. 402--417. Springer, Heidelberg (2009).
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.
A New Class of Bent and Hyper-Bent Boolean Functions in Polynomial Forms.
S. Mesnager. Journal Designs, Codes and Cryptography. Volume 59, No 1-3, pages 265-279 (2011).
Hyper-bent Boolean Functions with Multiple Trace Terms.
S. Mesnager. Proceedings of International Workshop on the Arithmetic of Finite Fields. M.A. Hasan and T.Helleseth (Eds.): WAIFI 2010, LNCS 6087, pp. 97-113. Springer, Heidelberg (2010).
A new class of Bent Boolean functions in polynomial forms.
S. Mesnager. Proceedings of international Workshop on Coding and Cryptography, WCC 2009, pp. 5-18, Ullensvang, Norway.
Recent Results on Bent and Hyper-bent Functions and Their Link With Some Exponential Sums.
S. Mesnager. IEEE Information Theory Workshop, ITW 2010 Dublin.
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).
On the link of some semi-bent functions with Kloosterman sums.
S. Mesnager, G. Cohen. Proceedings of International Workshop on Coding and Cryptology (IWCC 2011), pages 263-272, LNCS 6639, Springer, 2011.
On a conjecture about binary strings distribution.
G. Cohen, J.P. Flori, H. Randriambololona, S. Mesnager. Proceedings of 6-th International Conference SEquences and Their Applications, SETA 2010, LNCS 6338, pp. 346-358. Springer, Heidelberg (2010).
Bent and Hyper-bent Functions in polynomial form and Their Link With Some Exponential Sums and Dickson Polynomials.
S. Mesnager, IEEE Transactions on Information Theory.Vol 57, No 9, pages 5996-6009, 2011.
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 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.
On Semi-bent Boolean Functions.
C. Carlet et S. Mesnager, IEEE Transactions on Information Theory, Vol 58, No 5, pages: 3287-3292, 2012.
Semi-bent functions from Dillon and Niho exponents, Kloosterman sums and Dickson polynomials.
S. Mesnager. IEEE Transactions on Information Theory. Vol 57, No 11, pages 7443-7458, 2011.
Binary Kloosterman sums with value 4.
J.P Flori S. Mesnager et G.Cohen. Proceedings of Thirteenth International Conference on Cryptography and Coding, Oxford, Angleterre.L. Chen ( Ed), IMACC 2011, LNCS 7089 pages 61-78, Springer.
On hyper-bent functions via Dillon-like exponents.
S. Mesnager et J.P. Flori, ISIT 2012-IEEE Internaional Symposium on Information Theory, IMT, Cambridge, MA, USA, Juillet 2012.
Semi-bent functions with multiple trace terms and hyperelliptic curves.
S. Mesnager, Proceeding of International Conference on Cryptology and Information Security in Latin America, Latincrypt 2012, LNCS 7533, Springer, pages 18-36, 2012.
Niho Bent Functions and Subiaco Hyperovals.
T.Helleseth, A. Kholosha et S. Mesnager, Proceedings of the 10-th International Conference on Finite Fields and Their Applications (Fq'10), Contemporary Math., AMS, 2012. Vol 579, pages 91-101, 2012.
Dickson polynomials, hyperelliptic curves and hyper-bent functions.
J.P. Flori et S. Mesnager, Proceedings of 7-th International conference SEquences and Their Applications, SETA 2012, Waterloo, Canada. LNCS 7780, pages 40-52, Springer, 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.
An efficient characterization of a family of hyper-bent functions with multiple trace terms.
J. P. Flori et S. Mesnager, Journal of Mathematical Cryptology. Vol 7 (1), pages 43-68, 2013.
Hyper-bent functions via Dillon-like exponents.
S. Mesnager et J. P. Flori, IEEE Transactions on Information Theory-IT. Vol. 59 No. 5, pages 3215- 3232, 2013.
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.