Trapdoor one-way functions on elliptic curves and their application to shorter signatures and asymmetric encryption
US8782400B2 · kind B2 · utility
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22Claims
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Key dates
| Filing date | Jun 13, 2012 |
| Grant date | Jul 15, 2014 |
| Priority date | — |
| Expiry date | Jun 23, 2032 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH04L9/3252
- WIPO fieldDigital communication
- WIPO sectorElectrical engineering
Abstract
A new trapdoor one-way function is provided. In a general sense, some quadratic algebraic integer z is used. One then finds a curve E and a rational map defining [z] on E. The rational map [z] is the trapdoor one-way function. A judicious selection of z will ensure that [z] can be efficiently computed, that it is difficult to invert, that determination of [z] from the rational functions defined by [z] is difficult, and knowledge of z allows one to invert [z] on a certain set of elliptic curve points.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.