Method for accelerating cryptographic operations on elliptic curves
US7110538B2 · kind B2 · utility
15Cited by
2References
18Claims
0Family size
Assignee
Inventors
Key dates
| Filing date | Jun 22, 2001 |
| Grant date | Sep 19, 2006 |
| Priority date | — |
| Expiry date | Mar 26, 2022 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F7/725
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
This invention provides a method for accelerating multiplication of an elliptic curve point Q(x,y) by a scalar k, the method comprising the steps of selecting an elliptic curve over a finite field Fq where q is a prime power such that there exists an endomorphism Ψ, where Ψ(Q)=λ.Q for all points Q(x,y) on the elliptic curve: and using smaller representations ki of the scalar k in combination with the mapping Ψ to compute the scalar multiple of the elliptic curve point Q.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.