| Presentation | 2007-05-18 Birthday Paradox for Multi-Collisions Kazuhiro SUZUKI, Dongvu TONIEN, Kaoru KUROSAWA, Koji TOYOTA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we study multi-collision probability. For a hash function H:D→R with |R|= n, it has been believed that we can find an s-collision by hashing Q = n^<(s-1)/s>times. We first show that this probability is at most 1/s! which is very small for large s. We next show that by hashing (s!)^<1/s>×Q times, an s-collision is found with probability approximately 0.5 for sufficiently large n. Note that if s = 2, it coincides with the usual birthday paradox. Hence it is a generalization of the birthday paradox to multi-collisions. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | hash function / birthday paradox / multi-collision / collision resistant |
| Paper # | ISEC2007-6 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2007/5/11(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 | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Birthday Paradox for Multi-Collisions |
| Sub Title (in English) | |
| Keyword(1) | hash function |
| Keyword(2) | birthday paradox |
| Keyword(3) | multi-collision |
| Keyword(4) | collision resistant |
| 1st Author's Name | Kazuhiro SUZUKI |
| 1st Author's Affiliation | Venture Business Laboratory, Ibaraki University() |
| 2nd Author's Name | Dongvu TONIEN |
| 2nd Author's Affiliation | School of Information Technology and Computer Science, University of Wollongong |
| 3rd Author's Name | Kaoru KUROSAWA |
| 3rd Author's Affiliation | Department of Computer and Information Sciences, Ibaraki University |
| 4th Author's Name | Koji TOYOTA |
| 4th Author's Affiliation | Department of Computer and Information Sciences, Ibaraki University |
| Date | 2007-05-18 |
| Paper # | ISEC2007-6 |
| Volume (vol) | vol.107 |
| Number (no) | 44 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |