Curves of genus two over fields of even characteristic

Mathematische Zeitschrift

Volumn 250, Issue 1, 2005, Pages 177-201

  Cardona, Gabriel ^a   Nart, Enric ^b   Pujolàs, Jordi ^b  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17444408879     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-004-0750-0     Document Type: Article

References (10)

1. Cardona, G.: On the number of curves of genus 2 over a finite field. Finite Fields Appl. 9, 505-526 (2003)
2. Cardona, G. : Models racionals de corbes de gènere 2. PhD Thesis, Universitat Politècnica de Catalunya, 2001
3. Hasse, H.: Theorie der relativ-zyklischen algebraischen Funktionkörper, insbesondere bei endlichem Konstantkörper. J. Reine Angew. Math. 172, 37-54 (1934)
4. Koblitz, N.: Hyperelliptic Cryptosystems. J. Cryptology 1, 139-150 (1989)
5. Igusa, J.: Arithmetic variety of moduli for genus two. Ann. of Math. 72, 612-649 (1960)
6. Mestre, J.-F.: Construction de courbes de genre 2 à partir de leurs modules. Effective methods in algebraic geometry (Castiglioncello, 1990), Birkhäuser Boston, Boston, MA, 1991, pp. 313-334
7. Serre, J.P.: Corps Locaux. Hermann, Paris, 1968
8. Stichtenoth, H.: Algebraic Function Fields and Codes. Springer-Verlag, Berlin Heidelberg, 1993
9. van der Geer, G., van der Vlugt, M.: Reed-Muller codes and supersingular curves. I. Compositio Math. 84, 333-367 (1992)
10. van der Geer, G., van der Vlugt, M.: Supersingular Curves of Genus 2 over finite fields of Characteristic 2. Math. Nachr. 159, 73-81 (1992)