| Presentation | 1997/11/20 Modular Inverse Algorithm Optimized by Initial Operations Tetsutaro Kobayashi, Hikaru Morita, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a high speed method to calculate modular inverse over a ring Z^x_Z or a finite field F_p with prime elements for public-key schemes (i.e., elliptic-curve cryptosystems). By making use of a difference between a speed to calculate multiplication by 2^n and one to calculate multiplication by 2^<-n>, and introducing initial operations, a total operation cost can be reduced. This method can be applied to a conventional modular inverse, Shimbo inverse [1], or Kaliski inverse [2] algorithm. We also succeed to optimize an initial operation parameter by considering distributions of input value. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Elliptic-curve cryptosystems / Modular arithmetic / Modular inverse / Montgomery method / Binary GCD |
| Paper # | ISEC97-48 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1997/11/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Modular Inverse Algorithm Optimized by Initial Operations |
| Sub Title (in English) | |
| Keyword(1) | Elliptic-curve cryptosystems |
| Keyword(2) | Modular arithmetic |
| Keyword(3) | Modular inverse |
| Keyword(4) | Montgomery method |
| Keyword(5) | Binary GCD |
| 1st Author's Name | Tetsutaro Kobayashi |
| 1st Author's Affiliation | NTT Information and Communication Systems Laboratories() |
| 2nd Author's Name | Hikaru Morita |
| 2nd Author's Affiliation | NTT Information and Communication Systems Laboratories |
| Date | 1997/11/20 |
| Paper # | ISEC97-48 |
| Volume (vol) | vol.97 |
| Number (no) | 381 |
| Page | pp.pp.- |
| #Pages | 11 |
| Date of Issue | |