| Presentation | 2003/3/20 Efficient exponentiation on Genus Two Hyperelliptic Curves (II) Naoyuki TAKAHASHI, Hiroaki MORIMOTO, Atsuko MIYAJI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Hyperelliptic curve cryptosystems are appraised at next generation public-key cryptosystems instead of elliptic curve cryptosystems. This is why Hyperelliptic curve cryptosystems have begun to attract notice. In hyperelliptic curve exponetiation, a scalar multiplication takes most computation costs. Therefore, to accelerate scalar multiplications are important for realizing efficient exponentiation on Hyperelliptic Curves. In this paper, we study that Mixed coordinates system, which is efficient scalar multiplication method on elliptic curve, is applied a scalar multiplication on genus 2 hyperelliptic curve. And we show conditons of efficient scalar multiplication. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | hyperelliptic curve cryptosystems / Genus two / scalar multiplication |
| Paper # | IT2002-87,ISEC2002-145,SST2002-193,ITS2002-170 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2003/3/20(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) | Efficient exponentiation on Genus Two Hyperelliptic Curves (II) |
| Sub Title (in English) | |
| Keyword(1) | hyperelliptic curve cryptosystems |
| Keyword(2) | Genus two |
| Keyword(3) | scalar multiplication |
| 1st Author's Name | Naoyuki TAKAHASHI |
| 1st Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)() |
| 2nd Author's Name | Hiroaki MORIMOTO |
| 2nd Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology (JAIST) |
| 3rd Author's Name | Atsuko MIYAJI |
| 3rd Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology (JAIST) |
| Date | 2003/3/20 |
| Paper # | IT2002-87,ISEC2002-145,SST2002-193,ITS2002-170 |
| Volume (vol) | vol.102 |
| Number (no) | 744 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |