| Presentation | 2009-09-25 A note on pairing inversion problem Naoki KANAYAMA, Eiji OKAMOTO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we show that pairing inversion problem of Ate_i pairing, a variant of Tate pairing, can be solved under some assumptions. A standard approach for inversion problem of Tate pairing (and its improved pairings) is separated two steps: (1) finding a "valid" power root (2) solving Miller inversion for the power root. If we have a generic algorithm for finding the "valid" power root, we can solve inversion problem of Ate_i pairing without solving Miller inversion by using properties of Ate_i pairing. We show that pairing inversion problem on a variant of Tate pairing, Ate_i pairing, is reduced to problem for finding a "valid" power root. So, pairing inversion problem is reduced to problem for finding a "valid" power root. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pairing inversion problem / Tate pairing / power root computation |
| Paper # | ISEC2009-49 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2009/9/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| 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) | A note on pairing inversion problem |
| Sub Title (in English) | |
| Keyword(1) | pairing inversion problem |
| Keyword(2) | Tate pairing |
| Keyword(3) | power root computation |
| 1st Author's Name | Naoki KANAYAMA |
| 1st Author's Affiliation | Graduate School of Systems and Information Engineering, University of Tsukuba() |
| 2nd Author's Name | Eiji OKAMOTO |
| 2nd Author's Affiliation | Graduate School of Systems and Information Engineering, University of Tsukuba |
| Date | 2009-09-25 |
| Paper # | ISEC2009-49 |
| Volume (vol) | vol.109 |
| Number (no) | 207 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |