GAATI

Laboratoire GAATI

Université de la Polynésie française

Publications

Eitan Altman, Mandar Datar, Francesco de Pellegrini, Samir Perlaza, Daniel Menasché. The Mask Game with Multiple Populations. Dynamic Games and Applications, Springer Verlag, In press, ⟨10.1007/s13235-022-00431-5⟩. ⟨hal-03527522⟩

Sadaf Ul Zuhra, Samir Perlaza, H. Vincent Poor, Eitan Altman. Achievable Information-Energy Region in the Finite Block-Length Regime with Finite Constellations. 2022. ⟨hal-03563756⟩

Samir Perlaza, Gaetan Bisson, Iñaki Esnaola, Alain Jean-Marie, Stefano Rini. Empirical Risk Minimization with Relative Entropy Regularization: Optimality and Sensitivity Analysis. 2022. ⟨hal-03561396⟩

Xiuzhen Ye, Iñaki Esnaola, Samir Perlaza, Robert Harrison. Stealth Data Injection Attacks with Sparsity Constraints. 2022. ⟨hal-03516567⟩

Sadaf Ul Zuhra, Samir Perlaza, H. Vincent Poor, Eitan Altman. Simultaneous Information and Energy Transmission with Finite Constellations. [Research Report] RR-9409, Inria Sophia Antipolis - Méditerranée. 2022, pp.1-37. ⟨hal-03230482v2⟩

Samir Perlaza, Gaetan Bisson, Iñaki Esnaola, Alain Jean-Marie, Stefano Rini. Empirical Risk Minimization with Generalized Relative Entropy Regularization. [Research Report] RR-9454, Inria. 2022. ⟨hal-03560072v2⟩

Adrien Poteaux, Martin Weimann. Computing Puiseux series: a fast divide and conquer algorithm. Annales Henri Lebesgue, UFR de Mathématiques - IRMAR, 2021, 4, pp.1061--1102. ⟨10.5802/ahl.97⟩. ⟨hal-01578214v3⟩

Izza Mounir, Loick Menvielle, Samir Perlaza, Denis Chênevert, Jo-Hanna Planchard, et al.. Psychological Distress and Tobacco Use Among Hospital Workers During COVID-19. Frontiers in Psychiatry, Frontiers, 2021, 12, ⟨10.3389/fpsyt.2021.701810⟩. ⟨hal-03429343⟩

Alexander Rahm. AN INTRODUCTION TO TORSION SUBCOMPLEX REDUCTION. Advanced Studies: Euro-Tbilisi Mathematical Journal, Tbilisi Centre for Mathematical Sciences, 2021, Special issue on Cohomology, Geometry, Explicit Number Theory, 9, p. 105-126. ⟨hal-03112213v2⟩

Rony Bitan, Ralf Köhl, Claudia Schoemann. The twisted forms of a semisimple group over an Fq-curve. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2021, 33 (1), pp.17-38. ⟨10.5802/jtnb.1150⟩. ⟨hal-03601022⟩

Laia Amorós, Annamaria Iezzi, Kristin Lauter, Chloe Martindale, Jana Sotáková. Explicit Connections Between Supersingular Isogeny Graphs and Bruhat–Tits Trees. Women in Numbers Europe III, 24, Springer, pp.39-73, 2021, Association for Women in Mathematics Series, 978-3-030-77699-2. ⟨10.1007/978-3-030-77700-5_2⟩. ⟨hal-03563867⟩

Gaetan Bisson, Stéphane Ballet, Irene Bouw. Arithmetic, Geometry, Cryptography and Coding Theory. Jun 2019, Marseille, France. 770, American Mathematical Society, 2021, Contemporary Mathematics, ⟨10.1090/conm/770⟩. ⟨hal-03371878⟩

Gaetan Bisson, Roger Oyono. On the vaccination threshold for Covid-19 in French Polynesia. 2021. ⟨hal-03418625⟩

Samir Perlaza. Contributions to Information and Energy Systems. Information Theory [math.IT]. INSA de Lyon; Université Claude Bernard Lyon I, 2021. ⟨tel-03429274⟩

Gaetan Bisson, Romain Cosset, Damien Robert. AVIsogenies. 2021, ⟨swh:1:dir:05aed8deac96bfb9c122157e4db1d310423c7258;origin=https://hal.archives-ouvertes.fr/hal-03371897;visit=swh:1:snp:57482093ffd15cdb106b284e34b3f7f0813562aa;anchor=swh:1:rev:1f0f6ec99b2c46d1bdf2e1d68aa330d3249f0b1b;path=/⟩. ⟨hal-03371897⟩

David Burns, Rob de Jeu, Herbert Gangl, Alexander Rahm, Dan Yasaki. Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields. Forum of Mathematics, Sigma, Cambridge University press, 2021, 9 (E40), ⟨10.1017/fms.2021.9⟩. ⟨hal-02550079⟩

Sadaf Ul Zuhra, Samir Perlaza, Eitan Altman. Simultaneous Information and Energy Transmission with Finite Constellations. ITW 2021 - IEEE Information Theory Workshop, Oct 2021, Kanazawa, Japan. pp.1-6, ⟨10.1109/ITW48936.2021.9611494⟩. ⟨hal-03339165⟩

Dadja Anade, Jean-Marie Gorce, Philippe Mary, Samir Perlaza. Saddlepoint Approximations of Cumulative Distribution Functions of Sums of Random Vectors. [Research Report] RR-9388, Inria Grenoble - Rhône-Alpes. 2021, pp.32. ⟨hal-03143508v3⟩

Adrien Poteaux, Martin Weimann. Computing the equisingularity type of a pseudo-irreducible polynomial. Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩. ⟨hal-02354930v2⟩

Laurent Busé, Carlos d'Andrea, Martín Sombra, Martin Weimann. The geometry of the flex locus of a hypersurface. Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2020, 304 (2), pp.419--437. ⟨10.2140/pjm.2020.304.419⟩. ⟨hal-01779785⟩

Alexander Rahm. Bianchi's additional symmetries. Journal of Homotopy and Related Structures, Springer, 2020, 15, pp.455-462. ⟨10.1007/s40062-020-00262-4⟩. ⟨hal-02899079⟩

Bui Anh Tuan, Alexander Rahm, Matthias Wendt. On Farrell-Tate cohomology of GL(3) over rings of quadratic integers. 2020. ⟨hal-02435963⟩

Xiang-Dong Hou, Annamaria Iezzi. An application of the Hasse--Weil bound to rational functions over finite fields. Acta Arithmetica, Instytut Matematyczny PAN, 2020, 195 (2), pp.207-216. ⟨10.4064/aa190701-5-12⟩. ⟨hal-03601019⟩

Mohamad Ali Mehrabi, Christophe Doche, Alireza Jolfaei. Elliptic Curve Cryptography Point Multiplication Core for Hardware Security Module. IEEE Transactions on Computers, Institute of Electrical and Electronics Engineers, 2020, 69 (11), pp.1707-1718. ⟨10.1109/TC.2020.3013266⟩. ⟨hal-03601024⟩

Arun Gonzales Decano, Nghia Tran, Hawriya Al-Foori, Buthaina Al-Awadi, Leigh Campbell, et al.. Plasmids shape the diverse accessory resistomes of Escherichia coli ST131. Access Microbiology, Microbiology Society, 2020, ⟨10.1099/acmi.0.000179⟩. ⟨hal-03017581⟩

Alexander Rahm. Statistique pour les Sciences de la Vie et de la Terre. Licence. Polynésie française. 2020. ⟨hal-03139390⟩

Alexander Rahm, Noam Solomon, Tara Trauthwein, Barak Weiss. The Distribution of Rational Numbers on Cantor’s Middle Thirds Set. Uniform Distribution Theory, Mathematical Institute of the Slovak Academy of Sciences, 2020, 15 (2), pp.73-92. ⟨10.2478/udt-2020-0011⟩. ⟨hal-03417923⟩

Adrien Poteaux, Martin Weimann. Using approximate roots for irreducibility and equi-singularity issues in K[[x]][y]. 2019. ⟨hal-02137331v2⟩

Fabio Perroni, Alexander Rahm. On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2019, 19, pp.2715-2762. ⟨10.2140/agt.2019.19.2715⟩. ⟨hal-00627034v4⟩

Alexander Rahm, Panagiotis Tsaknias. GENUINE BIANCHI MODULAR FORMS OF HIGHER LEVEL, AT VARYING WEIGHT AND DISCRIMINANT. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2019, 31 (1), pp.27-48. ⟨10.5802/jtnb.1067⟩. ⟨hal-01478115⟩

Alexander Rahm. Corrigendum to “On a question of Serre” [C. R. Acad. Sci. Paris, Ser. I 350 (2012) 741–744]. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2019, 357 (7), pp.589-590. ⟨10.1016/j.crma.2019.07.008⟩. ⟨hal-03417827⟩

Martin Weimann. Computing the genus of plane curves with cubic complexity. Conférence Internationale ACA2019, Jul 2019, Montreal, Canada. ⟨hal-02556247⟩

David Adam. Optimalité pour en problème de Bézivin. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2019, 31 (1), pp.161-177. ⟨10.5802/jtnb.1073⟩. ⟨hal-02548720⟩

Maryam Sheikhi‐garjan, Mojtaba Bahramian, Christophe Doche. Threshold verifiable multi‐secret sharing based on elliptic curves and Chinese remainder theorem. IET Information Security, Institution of Engineering and Technology, 2019, 13 (3), pp.278-284. ⟨10.1049/iet-ifs.2018.5174⟩. ⟨hal-03602233⟩

Mohamad Ali Mehrabi, Christophe Doche. Low-Cost, Low-Power FPGA Implementation of ED25519 and CURVE25519 Point Multiplication. Information, MDPI, 2019, 10 (9), pp.285. ⟨10.3390/info10090285⟩. ⟨hal-03602232⟩

Stéphane Ballet, Alexey Zykin. Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields. Designs, Codes and Cryptography, Springer Verlag, 2019, 87 (2-3), pp.517-525. ⟨10.1007/s10623-018-0560-8⟩. ⟨hal-02115440⟩

Ethan Berkove, Grant Lakeland, Alexander Rahm, Anh Tuan Bui, Sebastian Schönnenbeck. The mod 2 cohomology rings of congruence subgroups in the Bianchi groups. Journal of Algebraic Combinatorics, Springer Verlag, 2019, ⟨10.1007/s10801-019-00912-8⟩. ⟨hal-01565065v3⟩

Stéphane Ballet, Jean Chaumine, Julia Pieltant, Matthieu Rambaud, Hugues Randriambololona, et al.. On the tensor rank of multiplication in finite extensions of finite

Anh Tuan Bui, Alexander Rahm, Matthias Wendt. The Farrell–Tate and Bredon homology for PSL 4 ( Z ) via cell subdivisions. Journal of Pure and Applied Algebra, Elsevier, 2019, 223 (7), pp.2872-2888. ⟨10.1016/j.jpaa.2018.10.002⟩. ⟨hal-03417845⟩

Adrien Poteaux, Martin Weimann. A quasi-linear irreducibility test in K[[x]][y]. 2019. ⟨hal-02354929⟩

Gaetan Bisson, Mehdi Tibouchi. Constructing Permutation Rational Functions from Isogenies. SIAM Journal on Discrete Mathematics, Society for Industrial and Applied Mathematics, 2018, 32 (3), pp.1741-1749. ⟨10.1137/17M1135736⟩. ⟨hal-02129542⟩

Gaetan Bisson, Dimitar Jetchev. Isogeny Graphs and Endomorphism Rings of Ordinary Abelian Varieties. colloque international “L-functions and algebraic varieties”, Poncelet Scientific Center; Higher School of Economics, Feb 2018, Moscou, Russia. ⟨hal-02129543⟩

Philippe Lebacque, Alexey Zykin. On M-functions associated with modular forms. Moscow Mathematical Journal, Independent University of Moscow 2018, 18 (3), pp.437-472. ⟨10.17323/1609-4514-2018-18-3-437-472⟩. ⟨hal-01475616⟩

Sébastien Larrue, Jean-François Butaud, Curtis Daehler, Stéphane Ballet, Julien Chadeyron, et al.. Persistence at the final stage of volcanic island ontogeny: Abiotic predictors explain native plant species richness on 111 remote Pacific atolls. Ecology and Evolution, Wiley Open Access, 2018, ⟨10.1002/ece3.4680⟩. ⟨hal-01934658⟩

Arshia Atashpendar, Sarthak Arora, Alexander Rahm, Tanja Schilling. Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders. Physical Review E , American Physical Society (APS), 2018, 98 (6), ⟨10.1103/PhysRevE.98.062611⟩. ⟨hal-03017594⟩

Martin Weimann, Denis Simon. Plane curves with minimal discriminant. Journal of Commutative Algebra, Rocky Mountain Mathematics Consortium, 2018, 10 (4), pp.559-598. ⟨10.1216/JCA-2018-10-4-559⟩. ⟨hal-02137328⟩

David Adam. Polynômes à valeurs entières sur des ensembles invariants par rotation. Journal of Number Theory, Elsevier, 2018, 186, pp.417-438. ⟨10.1016/j.jnt.2017.10.011⟩. ⟨hal-02129534⟩

Bui Anh Tuan, Alexander Rahm. Verification of the Quillen conjecture in the rank 2 imaginary quadratic case. Homology, Homotopy and Applications(HHA), International Press of Boston, Inc., 2017, 22 (2), ⟨10.4310/HHA.2020.v22.n2.a17⟩. ⟨hal-02548734⟩

Eric Férard. On the irreducibility of the hyperplane sections of Fermat varieties in ℙ 3 $\mathbb {P}^{3}$ in characteristic 2. II. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , Springer, 2017, 9 (6), pp.749-767. ⟨10.1007/s12095-017-0213-1⟩. ⟨hal-03417811⟩

Gaetan Bisson, Marco Streng. On polarised class groups of orders in quartic CM-fields. Mathematical Research Letters, 2017, 24 (2), pp.247-270. ⟨10.4310/MRL.2017.v24.n2.a1⟩. ⟨hal-03371876⟩

Ivan Pogildiakov. On the linear bounds on genera of pointless hyperelliptic curves. 2017. ⟨hal-01494793⟩

Eric Férard. A infinite class of Kasami functions that are not APN infinitely often. Contemporary mathematics, American Mathematical Society, 2017, Contemporary Mathematics, 686, ⟨10.1090/conm/686/13777⟩. ⟨hal-03417866⟩

Martin Weimann. Bivariate Factorization Using a Critical Fiber. Foundations of Computational Mathematics, Springer Verlag, 2017, 17 (5), pp.1219-1263. ⟨10.1007/s10208-016-9318-8⟩. ⟨hal-01645143⟩

David Adam, Jean-Luc Chabert. About Number Fields with Pólya Group of Order $$\le $$ ≤ 2. Multiplicative Ideal Theory and Factorization Theory, 170, Springer International Publishing, pp.23-42, 2016, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-319-38855-7_2⟩. ⟨hal-03417781⟩

Jaime Gutierrez, Josef Schicho, Martin Weimann. Computer Algebra and Polynomials: Applications of Algebra and Number Theory. Springer International Publishing, 8942, 2015, 978-3-319-15080-2. ⟨10.1007/978-3-319-15081-9⟩. ⟨hal-02137337⟩

David Adam, Michael Welter. Fonctions entières totales en caractéristique finie. Bulletin de la société mathématique de France, Société Mathématique de France, 2015, 143 (1), pp.109-124. ⟨10.24033/bsmf.2681⟩. ⟨hal-01689001⟩

Philippe Lebacque, Alexey Zykin. On the number of rational points of Jacobians over finite fields. Acta Arithmetica, Instytut Matematyczny PAN, 2015, 169 (4), pp.373-384. ⟨10.4064/aa169-4-5⟩. ⟨hal-01689002⟩

Alexey Zykin. Asymptotic properties of zeta functions over finite fields. Finite Fields and Their Applications, Elsevier, 2015, 35, pp.247-283. ⟨10.1016/j.ffa.2015.04.005⟩. ⟨hal-01689003⟩

David Adam, Jean-Luc Chabert. On Bhargava's factorials of the set of twin primes in Z and in Fq[T]. International Journal of Number Theory, World Scientific Publishing, 2015, 11 (06), pp.1941-1959. ⟨10.1142/S1793042115500840⟩. ⟨hal-01689000⟩

Gaetan Bisson. Computing endomorphism rings of abelian varieties of dimension two. Mathematics of Computation, American Mathematical Society, 2015, 84 (294), pp.1977-1989. ⟨10.1090/S0025-5718-2015-02938-X⟩. ⟨hal-03371877⟩

Gerald Bourgeois. Nonsymmetric generic matrix equations. Linear Algebra and its Applications, Elsevier, 2015, 476, pp.159-183. ⟨10.1016/j.laa.2015.03.008⟩. ⟨hal-03417854⟩

Eric Férard. On the irreducibility of the hyperplane sections of Fermat varieties in P3 in characteristic 2. Advances in Mathematics of Communications, AIMS, 2014, 8 (4), pp.497-509. ⟨10.3934/amc.2014.8.497⟩. ⟨hal-01779804⟩

Florian Luca, Roger Oyono. THE DIOPHANTINE EQUATION Fyn + Fxn+1 = Fxm. Integers, 2014, Annual Volume 2013, 9783110298116. ⟨10.1515/9783110298161.479⟩. ⟨hal-03417919⟩

Gerald Bourgeois. The Matrix Equation X A - A X = X α g ( X ) over Fields or Rings. Algebra Colloquium, World Scientific Publishing, 2014, 2014, pp.1-6. ⟨10.1155/2014/745029⟩. ⟨hal-03417890⟩

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⟩

Gerald Bourgeois. PROPERTY L AND COMMUTING EXPONENTIALS IN DIMENSION AT MOST THREE. Bulletin of the Australian Mathematical Society, John Loxton University of Western Sydney|Australia 2014, 89 (1), pp.70-78. ⟨10.1017/S0004972713000609⟩. ⟨hal-03417858⟩

Christophe Doche. On the Enumeration of Double-Base Chains with Applications to Elliptic Curve Cryptography. Advances in Cryptology – ASIACRYPT 2014, 8874, Springer Berlin Heidelberg, pp.297-316, 2014, Lecture Notes in Computer Science, ⟨10.1007/978-3-662-45611-8_16⟩. ⟨hal-03417789⟩

Roger Oyono, Florian Luca. The diophantine equation F_N^Y + F_{N+1}^X = F_M^X. Integers : Electronic Journal of Combinatorial Number Theory, State University of West Georgia, Charles University, and DIMATIA, 2013, pp.A33. ⟨hal-02084933⟩

Gérald Bourgeois. About the matrix function X → AX + XA. Linear and Multilinear Algebra, Taylor & Francis, 2013, 62 (7), pp.978-987. ⟨10.1080/03081087.2013.802090⟩. ⟨hal-03417860⟩

Gerald Bourgeois. Similar powers of a matrix. Linear and Multilinear Algebra, Taylor & Francis, 2013, 61 (6), pp.699-709. ⟨10.1080/03081087.2012.703190⟩. ⟨hal-03417859⟩

Stéphane Ballet, Jean Chaumine, Julia Pieltant. Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field. Conference on Algebraic Informatics, Sep 2013, Porquerolles Island, France. pp.160-172, ⟨10.1007/978-3-642-40663-8_16⟩. ⟨hal-00828070⟩

Gérald Bourgeois. Common invariant subspace and commuting matrices. Linear Algebra and its Applications, Elsevier, 2013, 438 (7), pp.3030-3038. ⟨10.1016/j.laa.2012.11.034⟩. ⟨hal-03417853⟩

Roger Oyono, Florian Luca, Aynur Yalciner. L-Functions of elliptic curves and binary recurrences. Bulletin of the Australian Mathematical Society, John Loxton University of Western Sydney|Australia 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, Elsevier, 2013, 56, pp.1-26. ⟨10.1016/j.jsc.2013.05.008⟩. ⟨hal-02084937⟩

Alexey Zykin. Uniform distribution of zeroes of L-functions of modular forms. Algorithmic Arithmetic, Geometry, and Coding Theory, Jun 2013, Marseille, France. pp.295-299, ⟨10.1090/conm/637/12762⟩. ⟨hal-01689004⟩

David Adam, Youssef Fares. On two affine-like dynamical systems in a local field. Journal of Number Theory, Elsevier, 2012, 132 (12), pp.2892-2906. ⟨10.1016/j.jnt.2012.05.011⟩. ⟨hal-03417840⟩

David Adam. ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC. International Journal of Number Theory, World Scientific Publishing, 2012, 08 (06), pp.1557-1568. ⟨10.1142/S1793042112500959⟩. ⟨hal-03417874⟩

Eric Férard, Roger Oyono, François Rodier. Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents. Contemporary mathematics, American Mathematical Society, 2012, Contemporary Math, pp.27-36. ⟨10.1090/conm/574/11423⟩. ⟨hal-01264150⟩

David Adam, Paul-Jean Cahen. Newtonian and Schinzel quadratic fields. Journal of Pure and Applied Algebra, Elsevier, 2011, 215 (8), pp.1902-1918. ⟨10.1016/j.jpaa.2010.11.003⟩. ⟨hal-03417843⟩

David Adam. Polynômes à valeurs entières ainsi que leurs dérivées en caractéristique p. Acta Arithmetica, Instytut Matematyczny PAN, 2011, 148 (4), pp.351-365. ⟨10.4064/aa148-4-3⟩. ⟨hal-03417928⟩

Gerald Bourgeois. Pairs of matrices, one of which commutes with their commutator. Electronic Journal of Linear Algebra, International Linear Algebra Society, 2011, 22, ⟨10.13001/1081-3810.1460⟩. ⟨hal-03417916⟩

David Adam. The Gel’fond-Fridman theorem in positive characteristic. Israël Journal of Mathematics, Hebrew University Magnes Press, 2011, 185 (1), pp.235-251. ⟨10.1007/s11856-011-0108-3⟩. ⟨hal-03417806⟩

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⟩

Stéphane Ballet, Jean Chaumine, Julia Pieltant, Robert Rolland. On the tensor rank of multiplication in finite extensions of finite fields. 2011. ⟨hal-01079416⟩

Gérald Bourgeois, Sébastien Orange. Dynamical Systems of Simplices in Dimension Two or Three. Automated Deduction in Geometry, 6301, Springer Berlin Heidelberg, pp.1-21, 2011, Lecture Notes in Computer Science, ⟨10.1007/978-3-642-21046-4_1⟩. ⟨hal-03417786⟩

Gerald Bourgeois. How to solve the matrix equation XA-AX=f(X). Linear Algebra and its Applications, Elsevier, 2011, 434 (3), pp.657-668. ⟨10.1016/j.laa.2010.09.037⟩. ⟨hal-03417851⟩

Enrique González-Jiménez, Roger Oyono. Non-hyperelliptic modular curves of genus 3. Journal of Number Theory, Elsevier, 2010, 130 (4), pp.862-878. ⟨10.1016/j.jnt.2009.12.002⟩. ⟨hal-03417839⟩

David Adam, Jean-Luc Chabert, Youssef Fares. Subsets of ℤ with Simultaneous Orderings. Integers : Electronic Journal of Combinatorial Number Theory, State University of West Georgia, Charles University, and DIMATIA, 2010, 10 (4), ⟨10.1515/integ.2010.037⟩. ⟨hal-03417921⟩

Alexander Rahm, Noam Solomon, Tara Trauthwein, Barak Weiss. The distribution of rational numbers on Cantor's middle thirds set. 2010. ⟨hal-02550072⟩

Eric Férard, François Rodier. Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur F2m avec m pair. Contemporary mathematics, American Mathematical Society, 2010, Contemporary Mathematics, 521, ⟨10.1090/conm/521/10272⟩. ⟨hal-03417862⟩

David Adam. Fonctions à valeurs entières et module de Carlitz. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2010, 22 (2), pp.271-286. ⟨10.5802/jtnb.715⟩. ⟨hal-03417931⟩

David Adam, Youssef Fares. Integer-valued Euler–Jackson’s finite differences. Monatshefte für Mathematik, Springer Verlag, 2010, 161 (1), pp.15-32. ⟨10.1007/s00605-009-0111-5⟩. ⟨hal-03417801⟩

Gerald Bourgeois. The matrix equation log(XY)=log(X)+log(Y). Linear Algebra and its Applications, Elsevier, 2010, 432 (8), pp.1878-1884. ⟨10.1016/j.laa.2008.12.024⟩. ⟨hal-03417850⟩

Gérald Bourgeois, Jean-Charles Faugère. Algebraic Attack on NTRU using Witt Vectors and Gröbner bases. Journal of Mathematical Cryptology, De Gruyter, 2010, 3 (3), pp.205--214. ⟨10.1515/jmc.2009.011⟩. ⟨hal-01148133⟩

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⟩

Gerald Bourgeois. Algebraic systems of matrices and Gröbner basis theory. Linear Algebra and its Applications, Elsevier, 2009, 430 (8-9), pp.2157-2169. ⟨10.1016/j.laa.2008.11.031⟩. ⟨hal-03417849⟩

Roger Oyono. Non-hyperelliptic modular Jacobians of dimension 3. Mathematics of Computation, American Mathematical Society, 2009, 78 (266), pp.1173-1191. ⟨10.1090/S0025-5718-08-02174-1⟩. ⟨hal-03417861⟩

Régis Blache, Éric Férard, Hui June Zhu. Hodge-Stickelberger polygons for $L$-functions of exponential sums of $P(x^s)$. Mathematical Research Letters, 2008, 15 (5), pp.1053-1071. ⟨10.4310/MRL.2008.v15.n5.a17⟩. ⟨hal-03417929⟩

Stéphane Ballet. A note on the tensor rank of the multiplication in certain finite fields. On Number Theory and its Applications, World Scientific, 2008, 5, pp.332-342. ⟨10.1142/9789812793430_0017⟩. ⟨hal-03417870⟩

Jean Chaumine. Multiplication in small finite fields using elliptic curves. On Number Theory and its Applications, World Scientific, 2008, 5, pp.343-350. ⟨10.1142/9789812793430_0018⟩. ⟨hal-03417871⟩

Stéphane Flon, Roger Oyono, Christophe Ritzenthaler. Fast addition on non-hyperelliptic genus 3 curves. On Number Theory and its Applications, World Scientific, 2008, pp.1-28. ⟨10.1142/9789812793430_0001⟩. ⟨hal-03417869⟩

David Adam. Pólya and Newtonian function fields. manuscripta mathematica, Springer Verlag, 2008, 126 (2), pp.231-246. ⟨10.1007/s00229-008-0173-z⟩. ⟨hal-03417795⟩

Stéphane Ballet. On the tensor rank of the multiplication in the finite fields. Journal of Number Theory, Elsevier, 2008, 128 (6), pp.1795-1806. ⟨10.1016/j.jnt.2007.06.010⟩. ⟨hal-03417837⟩

Gerald Bourgeois. On commuting exponentials in low dimensions. Linear Algebra and its Applications, Elsevier, 2007, 423 (2-3), pp.277-286. ⟨10.1016/j.laa.2006.12.019⟩. ⟨hal-03417848⟩

Régis Blache, Jean-Pierre Cherdieu, Jorge Estrada Sarlabous. Some computational aspects of Jacobians of curves in the family y3=γx5+δ over Fp. Finite Fields and Their Applications, Elsevier, 2007, 13 (2), pp.348-365. ⟨10.1016/j.ffa.2005.09.003⟩. ⟨hal-03417829⟩

Eric Férard, François Rodier. Nonlinarity of Boolean functions and hyperelliptic curves. 2007. ⟨hal-00145890⟩

François Rodier, Eric Férard. Non linéarité des fonctions booléennes données par des traces de polynômes de degré binaire 3. 2007. ⟨hal-00151591⟩

Régis Blache. On certain character sums overp -adic rings and theirL -functions. Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2007, 280 (15), pp.1681-1697. ⟨10.1002/mana.200510571⟩. ⟨hal-03417779⟩

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⟩

Régis Blache, Éric Férard. Newton stratification for polynomials: The open stratum. Journal of Number Theory, Elsevier, 2007, 123 (2), pp.456-472. ⟨10.1016/j.jnt.2006.06.009⟩. ⟨hal-03417835⟩

Jean Chaumine. Complexité bilinéaire de la multiplication dans des petits corps finis. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2006, 343 (4), pp.265-266. ⟨10.1016/j.crma.2006.06.030⟩. ⟨hal-03417823⟩

S. Ballet. An improvement of the construction of the D.V. and G.V. Chudnovsky algorithm for multiplication in finite fields. Theoretical Computer Science, Elsevier, 2006, 352 (1-3), pp.293-305. ⟨10.1016/j.tcs.2005.11.045⟩. ⟨hal-03417855⟩

S. Ballet, D. Le Brigand. On the existence of non-special divisors of degree g and g-1 in algebraic function fields over Fq. Journal of Number Theory, Elsevier, 2006, 116 (2), pp.293-310. ⟨10.1016/j.jnt.2005.04.009⟩. ⟨hal-03417833⟩

Régis Blache. A Stickelberger theorem for p-adic Gauss sums. Acta Arithmetica, Instytut Matematyczny PAN, 2005, 118 (1), pp.11-26. ⟨10.4064/aa118-1-2⟩. ⟨hal-03417927⟩

Stéphane Ballet, Jean Chaumine. Amélioration des bornes de la complexité bilinéaire de la multiplication dans certains corps finis. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2004, 339 (6), pp.383-385. ⟨10.1016/j.crma.2004.06.011⟩. ⟨hal-03417822⟩

S. Ballet, R. Rolland. Multiplication algorithm in a finite field and tensor rank of the multiplication. Journal of Algebra, Elsevier, 2004, 272 (1), pp.173-185. ⟨10.1016/j.jalgebra.2003.09.031⟩. ⟨hal-03417830⟩

Stéphane Ballet, Jean Chaumine. On the Bounds of the Bilinear Complexity of Multiplication in Some Finite Fields. Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2004, 15 (3-4), pp.205-221. ⟨10.1007/s00200-004-0155-7⟩. ⟨hal-03417791⟩

Régis Blache. Exponential sums over lifts of points. Journal of Number Theory, Elsevier, 2004, 105 (2), pp.361-386. ⟨10.1016/j.jnt.2003.10.004⟩. ⟨hal-03417832⟩

Eric Férard. Weight of duals of BCH codes and exponential sums. Finite Fields and Their Applications, Elsevier, 2003, 9 (1), pp.1-19. ⟨10.1016/S1071-5797(02)00016-3⟩. ⟨hal-03417817⟩

Stéphane Ballet. Low increasing tower of algebraic function fields and bilinear complexity of multiplication in any extension of Fq. Finite Fields and Their Applications, Elsevier, 2003, 9 (4), pp.472-478. ⟨10.1016/S1071-5797(03)00026-1⟩. ⟨hal-03417819⟩