oyono@gaati.org
Public-key cryptography. Algorithmic number theory. Discrete logarithm problem. Algebraic curves and applications in cryptography. Pairing based cryptography. APN functions. Modular curves.
Alp Bassa, Gaetan Bisson, Roger Oyono. Iterative constructions of irreducible polynomials from isogenies. Finite Fields and Their Applications, 2024, 97, pp.102429. ⟨10.1016/j.ffa.2024.102429⟩. ⟨hal-04602748⟩
Roger Oyono, Nicolas Thériault. Index calculus algorithm for non-planar curves. Finite Fields and Their Applications, 2023, 90, pp.102227. ⟨10.1016/j.ffa.2023.102227⟩. ⟨hal-04138475⟩
Gaetan Bisson, Roger Oyono. On the vaccination threshold for Covid-19 in French Polynesia. Pacific Health, 2022, 5, ⟨10.24135/pacifichealth.v5i.59⟩. ⟨hal-03418625⟩
Florian Luca, Roger Oyono. THE DIOPHANTINE EQUATION Fyn + Fxn+1 = Fxm. Integers, 2014, Annual Volume 2013, 9783110298116. ⟨10.1515/9783110298161.479⟩. ⟨hal-03417919⟩
Stéphane Ballet, Gaetan Bisson, Roger Oyono, Renate Scheidler, Nicolas Thériault. Special issue on GEOCRYPT 2013. GEOCRYPT 2013, Oct 2013, Punaauia, Tahiti (French Polynesia), France. 8 (4), American Institute of Mathematical Sciences (AIMS), pp.i - ii, 2014, Advances in Mathematics of Communications (AMC), ⟨10.3934/amc.2014.8.4i⟩. ⟨hal-01259563⟩
Roger Oyono, Florian Luca, Aynur Yalciner. L-Functions of elliptic curves and binary recurrences. Bulletin of the Australian Mathematical Society, 2013, 88 (03), pp.509-519. ⟨10.1017/S0004972713000166⟩. ⟨hal-02084932⟩
Roger Oyono, Nicolas Thériault. Group arithmetic in C 3 , 5 curves. Journal of Symbolic Computation, 2013, 56, pp.1-26. ⟨10.1016/j.jsc.2013.05.008⟩. ⟨hal-02084937⟩
Roger Oyono, Florian Luca. The diophantine equation F_N^Y + F_{N+1}^X = F_M^X. Integers : Electronic Journal of Combinatorial Number Theory, 2013, 13, pp.A33. ⟨hal-02084933⟩
Eric Férard, Roger Oyono, François Rodier. Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents. Contemporary mathematics, 2012, Contemporary Math, 574, pp.27-36. ⟨10.1090/conm/574/11423⟩. ⟨hal-01264150⟩
Florian Luca, Roger Oyono. An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers. Proceedings of the Japan Academy. Series A. Mathematical Sciences, 2011, 87 (4), ⟨10.3792/pjaa.87.45⟩. ⟨hal-03417925⟩
Christophe Ritzenthaler, Roger Oyono. On rationality of the intersection points of a line with a plane quartic. WAIFI 2010: Arithmetic of Finite Fields, 2010, Istanbul, Turkey. pp.224-237, ⟨10.1007/978-3-642-13797-6_16⟩. ⟨hal-01099944⟩
Enrique González-Jiménez, Roger Oyono. Non-hyperelliptic modular curves of genus 3. Journal of Number Theory, 2010, 130 (4), pp.862-878. ⟨10.1016/j.jnt.2009.12.002⟩. ⟨hal-03417839⟩
Roger Oyono. Non-hyperelliptic modular Jacobians of dimension 3. Mathematics of Computation, 2009, 78 (266), pp.1173-1191. ⟨10.1090/S0025-5718-08-02174-1⟩. ⟨hal-03417861⟩
Stéphane Flon, Roger Oyono, Christophe Ritzenthaler. Fast addition on non-hyperelliptic genus 3 curves. On Number Theory and its Applications, 2008, pp.1-28. ⟨10.1142/9789812793430_0001⟩. ⟨hal-03417869⟩
R. Granger, F. Hess, R. Oyono, N. Thériault, F. Vercauteren. Ate Pairing on Hyperelliptic Curves. Advances in Cryptology - EUROCRYPT 2007, 4515, Springer Berlin Heidelberg, pp.430-447, 2007, Lecture Notes in Computer Science, ⟨10.1007/978-3-540-72540-4_25⟩. ⟨hal-03417782⟩
Stéphane Flon, Roger Oyono. Fast Arithmetic on Jacobians of Picard Curves. 2947, Springer Berlin Heidelberg, pp.55-68, 2004, Lecture Notes in Computer Science, ⟨10.1007/978-3-540-24632-9_5⟩. ⟨hal-04085500⟩
Roberto Avanzi, Gerhard Frey, Tanja Lange, Roger Oyono. On using expansions to the base of −2. International Journal of Computer Mathematics, 2004, 81 (4), pp.403-406. ⟨10.1080/00207160410001661311⟩ ⟨hal-04084343⟩