Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Stéphane BALLET

Année
Publications
 Files Type
  Ballet Stéphane, Rolland Robert.
Lower bounds on the class number of algebraic function fields defined over any finite field.
A paraître, 2012. 
300 k 		ACL
2011 Ballet Stéphane, Rolland Robert.
Minoration du nombre de classes des corps de fonctions algébriques définis sur un corps fini.
CC. R. Acad. Sci. Paris, Ser. I 349, 709--712, 2011.
143 k 		ACL
  Ballet Stéphane, Rolland Robert.
A note on a Yao's theorem about pseudo-random generators.
Cryptography and Communications: Volume 3, Issue 4, 189--206, 2011.
194 k 		ACL
  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		 ACL
  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		 ACL
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 		ACL
  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 		ACTI
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.		   ACTI
 

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

   ACL
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.		   ACL
  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. 		  ACL
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.		 [Bal99b]  
  Ballet Stéphane.
Bounds on the bilinear complexity of multiplication in any extension of Fq.
Proceedings Workshop on Coding and Cryptography, INRIA, Paris, 1999		 [Bal99a]  

Habilitation
 
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 (Thesis)
  
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 : february 10, 2012, EL.