Encryption method based on factorization
US7778414B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Jun 11, 2003 |
| Grant date | Aug 17, 2010 |
| Priority date | — |
| Expiry date | Aug 7, 2026 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH04L9/3249
- WIPO fieldDigital communication
- WIPO sectorElectrical engineering
Abstract
The present invention relates to an asymmetrical encryption method. The public key is made up of a large composite number n; the private key is made up of the factors of the composite number. The encryption is made up of a number of iterations of individual encryption steps that are successively reversed during the decryption. In this context, the reversal of an individual encryption step requires the solving of a quadratic equation modulo m [sic]. The private key is preferably made up of the large prime numbers p and q. The public key is the product n of these two prime numbers, as well as a comparatively small integer L which is greater than one. The message m is made up of two integral values m1 and m2, thusm=(m1, m2),both values being in the set Zn={0, 1, 2, . . . , n−1}.The encryption is accomplished via the equationc=fL(m).
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.