| Presentation | 2018-10-29 Selection and evaluation of optimal bases in the case of implementing Q-RNS MR algorithm in FPGA Yoshihiro Kori, Daisuke Fujimoto, Yu-ichi Hayasi, Naofumi Homma, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | To improve a computation speed of public cryptography, Montgomery Reduction(MR) and Residue Number System (RNS) are often applied for Modular multiplications. So far, several improved algorithms have been proposed since the proposal of this method, but these algorithms have been limited to optimization within a single computation. On the other hand, a Q-RNS MR algorithm has been proposed. This algorithm focuses on plural calculations and performs optimization by movement of coefficients. However, it is not clear that performance evaluation of this algorithm on an actual circuit because the performance depends on the number and size of basis. In this research, we aim to investigate the suitable bases for implementation by implementing FPGA implementation of the Q-RNSMR algorithm, to implement public key cryptosystem using the Q-RNSMR algorithm and circuit performance evaluation using a selected basis. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | RNS / FPGA / Q-RNS / Montgomery multiplication |
| Paper # | HWS2018-51,ICD2018-43 |
| Date of Issue | 2018-10-22 (HWS, ICD) |
| Conference Information | |
| Committee | HWS / ICD |
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| Conference Date | 2018/10/29(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kobe Univ. Umeda Intelligent Laboratory |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | HardwareSecurity, etc. |
| Chair | Tsutomu Matsumoto(Yokohama National Univ.) / Hideto Hidaka(Renesas) |
| Vice Chair | Shinichi Kawamura(Toshiba) / Makoto Ikeda(Univ. of Tokyo) / Makoto Nagata(Kobe Univ.) |
| Secretary | Shinichi Kawamura(Kobe Univ.) / Makoto Ikeda(SECOM) / Makoto Nagata(Panasonic) |
| Assistant | / Hiroyuki Ito(Tokyo Inst. of Tech.) / Masatoshi Tsuge(Socionext) / Tetsuya Hirose(Kobe Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Hardware Security / Technical Committee on Integrated Circuits and Devices |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Selection and evaluation of optimal bases in the case of implementing Q-RNS MR algorithm in FPGA |
| Sub Title (in English) | |
| Keyword(1) | RNS |
| Keyword(2) | FPGA |
| Keyword(3) | Q-RNS |
| Keyword(4) | Montgomery multiplication |
| 1st Author's Name | Yoshihiro Kori |
| 1st Author's Affiliation | Nara Institute of Science and Technology(NAIST) |
| 2nd Author's Name | Daisuke Fujimoto |
| 2nd Author's Affiliation | Nara Institute of Science and Technology(NAIST) |
| 3rd Author's Name | Yu-ichi Hayasi |
| 3rd Author's Affiliation | Nara Institute of Science and Technology(NAIST) |
| 4th Author's Name | Naofumi Homma |
| 4th Author's Affiliation | Tohoku University(Tohoku Univ.) |
| Date | 2018-10-29 |
| Paper # | HWS2018-51,ICD2018-43 |
| Volume (vol) | vol.118 |
| Number (no) | HWS-272,ICD-273 |
| Page | pp.pp.25-30(HWS), pp.25-30(ICD), |
| #Pages | 6 |
| Date of Issue | 2018-10-22 (HWS, ICD) |