Institut de Mathématiques de Marseille

BIBLIOGRAPHIE - Stéphane BALLET

Année
Publications
Files
 2016

Larrue Sébastien , Butaud Jean-François, Dumas Pascal, Ballet Stéphane.    Native plant species richness on Eastern Polynesia’s remote atolls: Which abiotic factors influence its spatial pattern?                                           Progress in Physical Geography,  doi: 10.1177/0309133315615804, to appear.                                                 

Atighechi Kevin, Ballet Stéphane, Bonnecaze Alexis, Rolland Robert.                                                                                                     Effective arithmetic in finite fields based on Chudnovsky multiplication algorithm.                                                                                                            C. R. Acad. Sci. Paris, doi: 10.1016/j.crma.2015.12.001, to appear.   

Ballet Stéphane, Bonnecaze Alexis, Tukumuli Mila.
On the construction of elliptic Chudnovsky algorithms for multiplication in large extensions of finite fields.
Journal of algebra and its Applications,volume 15, number 1, 26 pages, 2016.

arXiv
2015
Ballet Stéphane, Rolland Robert, Tutdere Seher.
Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields.
Moscow Mathematical Journal,
volume 15, number 4, Pages 1–25, 2015.

Ballet
Stéphane,
Rolland Robert,
Tutdere Seher.
Lower bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers.
Moscow Mathematical Journal, volume 15, number 3, p. 1-9, 2015.

arXiv

Ballet Stéphane, Perret Marc, Zaytsev Alexey.
14th International Conference Arithmetic, Geometry, Cryptography and Coding Theory (June 3-7, 2013).
Stéphane Ballet, Marc Perret and Alexey Zaytsev (Eds), Contemporary Mathematics, Vol. 637, 2015.

AMS
2014

Ballet Stéphane, Bisson G., Oyono R., Theriault N.
Special Issue on GEOCRYPT 2013.
S. Ballet, G. Bisson, R. Oyono, N. Theriault (Eds), Advances in Mathematics of Communications (AMC), Volume 8, Issue 4, 2014.

PDF
  Ballet Stéphane, Rolland Robert.
On low weight codewords of generalized affine and projective Reed-Muller codes.
Designs, Codes and Cryptography, 70 (1-2), 2014.
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2013 Ballet Stéphane, Chaumine Jean, Pieltant Julia.
Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field.
Lecture Notes in Computer Science series, volume 8080, 2013.
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2012 Ballet Stéphane, Rolland Robert.
Lower bounds on the class number of algebraic function fields defined over any finite field.
J. Théor. Nombres Bordeaux 24, 3, 505--540, 2012.

300 k
2011 Ballet Stéphane, Chaumine Jean, Pieltant Julia, Rolland Robert.
On the tensor rank of multiplication in finite extensions of finite fields. arXiv:1107.1184, 2011.
arXiv
  Ballet Stéphane, Rolland Robert.
Minoration du nombre de classes des corps de fonctions algébriques définis sur un corps fini.
C. R. Acad. Sci. Paris, Ser. I 349, 709--712, 2011.

143 k
  Ballet Stéphane, Rolland Robert.
A note on a Yao's theorem about pseudo-random generators.
Cryptography and Communications, Vol. 3 N. 4, Page 189--206 doi: 10.1007/s12095-011-0047-1, Springer
, 2011.

194 k
  Ballet Stéphane, Rolland Robert.
Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound.
Publ. Math. Univ. Franche-Comté Besançon Algèbr. Theor. Nr. 5-18, 2011.

452 k
  Ballet Stéphane, Pieltant Julia.
On the tensor rank of multiplication in any extension of F2
Journal of Complexity 27, pp. 230-245, 2011.

411 k
2010 Ballet Stéphane, Ritzenthaler Christophe, Rolland Robert.
On the existence of dimension zero divisors in algebraic function fields defined over F_q.
Acta Arithmetica, 143, N°4, 377--392, 2010.

364 k
  Ballet Stéphane, Le Brigand Dominique, Rolland Robert.
On an application of the definition field descent of a tower of function fields.
Proceedings of the Conference "Arithmetic, Geometry and Coding Theory" (AGCT 2005), Société Mathématique de France, sér. Séminaires et Congrès 21, 187--203, 2010.

584 k
2008 Ballet Stéphane.
A note on the tensor rank of the multiplication in certain finite fields.
Algebraic geometry and its applications, Proceedings of the first SAGA conference, 7-11 May 2007, Papeete, vol.5, World Scientific, Number Theory and Its Applications, editors J. Hirschfeld, J. Chaumine and R. Rolland, isbn 13 978-981-279-342-3, p.332--342, 2008.
 
 

Ballet Stéphane.
On the tensor rank of the multiplication in the finite fields.
J. Number Theory 128, no. 6, 1795--1806, 2008.

 
2006 Ballet Stéphane.
An improvement of the construction of the D. V. and G. V. Chudnovsky algorithm for multiplication in finite fields.
Theoret. Comput. Sci. 352, no. 1-3, 293--305, 2006.
 
  Ballet Stéphane, Le Brigand Dominique.
On the existence of non-special divisors of degree $g$ and $g-1$ in algebraic function fields over $\Bbb F\sb q$.
J. Number Theory 116, no. 2, 293--310, 2006.
 
2005 Ballet Stéphane, Rolland Robert.
On the bilinear complexity of the multiplication in finite fields.
Proceedings of the Conference "Arithmetic, Geometry and Coding Theory" (AGCT 2003), Société Mathématique de France, sér. Séminaires et Congrès 11, 179--188, 2005.
 
2004 Ballet Stéphane, Chaumine Jean.
On the bounds of the bilinear complexity of multiplication in some finite fields.
Appl. Algebra Engrg. Comm. Comput. 15, no. 3-4, 205--211, 2004.
 
  Ballet Stéphane, Chaumine Jean.
Amélioration des bornes de la complexité bilinéaire de la multiplication dans certains corps finis [An improvement of bounds on the bilinear complexity of multiplication in some finite fields].
C. R. Math. Acad. Sci. Paris 339, no. 6, 383--385, 2004.
 
  Ballet Stéphane, Rolland Robert.
Multiplication algorithm in a finite field and tensor rank of the multiplication.
Journal of Algebra, Vol 272/1, 173--185, 2004.
 
2003

Ballet Stéphane.
Low increasing tower of algebraic function fields and bilinear complexity of multiplication in any extension of ${\Bbb F}\sb q$.
Finite Fields Appl. 9, no. 4, 472--478, 2003.

 
2002 Ballet Stéphane.
Quasi-optimal algorithms for multiplication in the extensions of $\Bbb F\sb {16}$ of degree 13, 14 and 15.
J. Pure Appl. Algebra 171, no. 2-3, 149--164, 2002.
 
1999 Ballet Stéphane.
Curves with many points and multiplication complexity in any extension of Fq.
Finite Fields Appl. 5, no. 4, 364--377, 1999.





Habilitation à Diriger de Recherches
 
2006 Corps de fonctions algébriques et application à l'étude de la complexité bilinéaire de la multiplication dans les corps finis.
Habilitation soutenue à l'Institut de Mathématiques de Luminy (Marseille), le 26 juin 2006
 

Thèse de doctorat d'université
 
1998 Étude de la complexité bilinéaire de la multiplication dans les corps finis par interpolation sur des courbes algébriques (On the bilinear complexity of multiplication in finite fields by interpolation on algebraic curves).
Thèse soutenue à l'Institut de Mathématiques de Luminy (Marseille) sous la direction de Robert Rolland, 1998
abstract


Last update : December, 2015