Method and apparatus for modular inversion for information security and recording medium with a program for implementing the method
US7831651B2 · kind B2 · utility
1Cited by
3References
21Claims
0Family size
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Key dates
| Filing date | Jul 20, 2004 |
| Grant date | Nov 9, 2010 |
| Priority date | — |
| Expiry date | Sep 6, 2027 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F7/728
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
Values X and N of n bits and a parameter t are input, then Y=X2−t mod N is calculated, then an extended binary GCD algorithm is executed for Y to obtain S=y−12k mod N and k, and R=S2−(k+t=2n) is calculated for S, thereby obtaining a Montgomery inverse R=X−122n mod N of X on a residue class ring Z/NZ.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.