Computing endomorphism rings of Abelian surfaces over finite fields
US7885406B2 · kind B2 · utility
5Cited by
6References
20Claims
0Family size
Assignee
Inventors
Key dates
| Filing date | Oct 10, 2006 |
| Grant date | Feb 8, 2011 |
| Priority date | — |
| Expiry date | Nov 29, 2029 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F7/724
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
Computing endomorphism rings of Abelian surfaces over finite fields is described. In one aspect, an endomorphism ring of an Abelian surface over a finite field is probabilistically computed. A genus-two curve is generated based on the probabilistically determined endomorphism ring. The genus-2 curve is used for encryption and decryption operations and a cryptosystem.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.