Name
Abstract | ||
|---|---|---|
We compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these computations in an appendix where we select a family of representatives of all these curves up to k-isomorphism and we exhibit equations and the zeta function of all their k/k-twists. As an application we obtain a direct computation of the cryptographic exponent of the Jacobians of these curves. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-73489-5_8 | Pairing |
Keywords | Field | DocType |
finite field k,direct computation,zeta function,cryptographic exponent,geometric automorphisms,supersingular curve,number theory,finite field | Weierstrass point,Discrete mathematics,Finite field,Supersingular elliptic curve,Riemann zeta function,Exponent,Prime zeta function,Arithmetic zeta function,Elliptic curve,Mathematics | Conference |
Volume | ISSN | ISBN |
4575 | 0302-9743 | 3-540-73488-0 |
Citations | PageRank | References |
4 | 0.50 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gabriel Cardona | 1 | 4 | 0.50 |
| Enric Nart | 2 | 25 | 5.92 |