Computing modular polynomials modulo large primes
US8259932B2 · kind B2 · utility
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8Claims
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Key dates
| Filing date | Jul 28, 2009 |
| Grant date | Sep 4, 2012 |
| Priority date | — |
| Expiry date | Sep 2, 2030 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F7/725
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
Systems and methods for computing modular polynomials modulo large primes are described. In one aspect, the systems and methods generate l-isogenous elliptic curves. A modular polynomial modulo a large prime p is then computed as a function of l-isogenous elliptic curves modulo p. In one aspect, the modular polynomial may be used in a cryptosystem.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.