About generations of curves of genus 2 of p-rank 1 over finite fields :: IKBFU's united scientific journal editorial office

×

Login
Password
Forgot your password?
Login As
You can log in if you are registered at one of these services:
   
The real and legitimate goal of the sciences is the endowment of human life with new inventions and riches
Francis Bacon

DOI-generator Search by DOI on Crossref.org

About generations of curves of genus 2 of p-rank 1 over finite fields

Author Lezhnin A.
Pages 171-173
Article Download
Keywords curve over field, finite field
Abstract (summary) Explicit methods of ge nerations of curves of genus 2 of p-rank 1 over finite fields are produced.
References 1. O’Connor L. H., McGuire G., Naehrig M. et al. A CM construction for curves of genus 2 with p-rank 1 // Journal of Number Theory (special edition on Elliptic Curve Cryptography). 2011. Vol. 131. P. 920—935.
2. Serre J. P. Sur la topologie des variete algebraiques en characteristic p // Sympos. Internac. Topologia algebraica, Mexico, 1956
3. Манин Ю. И. О матрице Хассе — Витта алгебраической кривой // Изв. АН СССР. Сер. матем. 1961. 25:1. С. 153—172.
4. Hasse H., Witt E. Zyklische unverzweigte Erweiterungskörper vom Primzahlgrad   über einem algebraischen Funktionenkörper der Charakteristik p // Monatshefte f. Math. und Phys. 1936. 43. P. 477—492.
5. Deuring M. Die Typen der Multiplikatorenringe elliptischer Funktionenkrper // Abh. Math. Sem. Univ. Hamburg, 1941. 14. P. 197—272.
6. Norman H. Many rational points: coding theory and algebraic geometry // Kluwer Academic Publishers, 2003. P. 47—55.

Back to the section