On the cyclicity of elliptic curves over finite field extensions *

Finite Fields and their Applications

Volumn 5, Issue 4, 1999, Pages 354-363

  Vladut S G ^a,b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033211172     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1999.0246     Document Type: Article

References (9)

1. H. Cohen, "A Course in Computational Number Theory," Graduate Texts in Math., Vol. 138, Springer-Verlag, Berlin, 1993.
2. A. J. Menezes, "Elliptic Curve Public Key Cryptosytems," Kluwer Academic, Dordrecht, 1993.
3. R. Schoof, Nonsingular plane cubic curves over finite fields, J. Combin. Theory Ser. A 46, No. 2 (1987), 183-211.
4. J.-P. Serre, "Abelian l-adic Representations and Elliptic Curves," Benjamin, New York, 1968.
5. J.-P. Serre, Propriétés galoisiennes des points d'ordre finis des courbes élliptiques, Invent. Math. 15 (1972), 259-331.
6. I. E. Shparlinski, "Computational and Algorithmic Problems in Finite Fields," Kluwer Academic, Dordrecht, 1992.
7. J. Silverman, "The Arithmetic of Elliptic Curves," Graduate Texts in Math., Vol. 106, Springer, Berlin e.a., 1986.
8. M. Tsfasman and S. Vladuts, "Algebraic-Geometric Codes," Kluwer Academic, Dordrecht 1991.
9. M. Tsfasman, On the structure of the group for elliptic curves over finite field, In "Proc. of All-Union Algebriac Conference, Tbilisi, 1985."