GAATI

GAATI Laboratory

University of French Polynesia

Publications

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. ⟨hal-03339165⟩

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⟩

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⟩

Alexander Rahm. AN INTRODUCTION TO TORSION SUBCOMPLEX REDUCTION. 2021. ⟨hal-03112213⟩

Sadaf Ul Zuhra, Samir Perlaza, Eitan Altman. Simultaneous Information and Energy Transmission with Finite Constellations. [Research Report] RR-9409, Inria Sophia Antipolis - Méditerranée. 2021, pp.17. ⟨hal-03230482⟩

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⟩

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

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

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, In press. ⟨hal-02899079⟩

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. Bianchi’s additional symmetries. Journal of Homotopy and Related Structures, Springer, 2020, 15 (3-4), pp.455-462. ⟨10.1007/s40062-020-00262-4⟩. ⟨hal-03417814⟩

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. Computing the equisingularity type of a pseudo-irreducible polynomial. 2019. ⟨hal-02354930⟩

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

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. ⟨hal-02548720⟩

David Burns, Rob de Jeu, Herbert Gangl, Alexander Rahm, Dan Yasaki. Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields. 2019. ⟨hal-02550079⟩

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⟩

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

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⟩

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

Fabio Perroni, Alexander Rahm. On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds. Algebraic and Geometric Topology, Mathematical Sciences Publishers, In press. ⟨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. ⟨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, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2019, 357 (7), pp.589-590. ⟨10.1016/j.crma.2019.07.008⟩. ⟨hal-03417827⟩

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⟩

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 (6), pp.2715-2762. ⟨10.2140/agt.2019.19.2715⟩. ⟨hal-03417922⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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. ⟨hal-02548734⟩

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⟩

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

Adrien Poteaux, Martin Weimann. Computing Puiseux series: a fast divide and conquer algorithm. 2017. ⟨hal-01578214v3⟩

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⟩

Philippe Lebacque, Alexey Zykin. On M-functions associated with modular forms. 2016. ⟨hal-01475616⟩

David Adam, Jean-Luc Chabert. No title. International Journal of Number Theory, World Scientific Publishing, 2015, 11 (06), pp.1941-1959. ⟨10.1142/S1793042115500840⟩. ⟨hal-03417882⟩

Alexey Zykin. Uniform distribution of zeroes of L-functions of modular forms. Contemporary mathematics, American Mathematical Society, 2015, Contemporary Mathematics, 637, ⟨10.1090/conm/637/12762⟩. ⟨hal-03417865⟩

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⟩

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, M. Welter. Fonctions entières totales en caractéristique finie. Bulletin de la société mathématique de France, Société Mathématique de France, 2015, 143 (1), pp.109-124. ⟨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. No title. 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. 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⟩

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⟩

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). ⟨hal-01779804⟩

Eric Férard. On the irreducibility of the hyperplane sections of Fermat varieties in $\mathbb{P}^3$ in characteristic $2$. Advances in Mathematics of Communications, AIMS, 2014, 8 (4), pp.497-509. ⟨10.3934/amc.2014.8.497⟩. ⟨hal-03417926⟩

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⟩

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⟩

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⟩

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⟩

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⟩

Alexey Zykin. Uniform distribution of zeroes of L-functions of modular forms. 14th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory, Jun 2013, Marseille, France. p. 295-2999. ⟨hal-01689004⟩

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-03417847⟩

Roger Oyono, Nicolas Thériault. Group Arithmetic on C_{3,5} curves. Journal of Symbolic Computation, Elsevier, 2013, 56, p. 1-26. ⟨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, State University of West Georgia, Charles University, and DIMATIA, 2013, pp.A33. ⟨hal-02084933⟩

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), p. 509-519. ⟨hal-02084932⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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⟩

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

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⟩

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⟩

Christophe Ritzenthaler, Roger Oyono. On rationality of the intersection points of a line with a plane quartic. WAIFI 2010, 2010, istanbul, Turkey. ⟨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⟩

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 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⟩

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⟩

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⟩

Eric Férard, François Rodier. Non linéarité des fonctions booléennes données par des traces de polynômes de degré binaire 3. On Number Theory and its Applications, World Scientific, 2008, 5, pp.388-409. ⟨10.1142/9789812793430_0021⟩. ⟨hal-03417873⟩

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 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⟩

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, 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⟩

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⟩

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⟩

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⟩

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⟩

Jean Chaumine. Complexité bilinéaire de la multiplication dans des petits corps finis. Comptes Rendus. Mathématique, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2006, 343 (4), pp.265-266. ⟨10.1016/j.crma.2006.06.030⟩. ⟨hal-03417823⟩

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, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2004, 339 (6), pp.383-385. ⟨10.1016/j.crma.2004.06.011⟩. ⟨hal-03417822⟩

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⟩

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⟩

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⟩

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⟩