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Paper Abstract and Keywords
Presentation 2018-10-29 14:55
Selection and evaluation of optimal bases in the case of implementing Q-RNS MR algorithm in FPGA
Yoshihiro Kori, Daisuke Fujimoto, Yu-ichi Hayasi (NAIST), Naofumi Homma (Tohoku Univ.) HWS2018-51 ICD2018-43 Link to ES Tech. Rep. Archives: ICD2018-43
Abstract (in Japanese) (See Japanese page) 
(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) 
(in English) RNS / FPGA / Q-RNS / Montgomery multiplication / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 272, HWS2018-51, pp. 25-30, Oct. 2018.
Paper # HWS2018-51 
Date of Issue 2018-10-22 (HWS, ICD) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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Download PDF HWS2018-51 ICD2018-43 Link to ES Tech. Rep. Archives: ICD2018-43

Conference Information
Committee HWS ICD  
Conference Date 2018-10-29 - 2018-10-29 
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. 
Paper Information
Registration To HWS 
Conference Code 2018-10-HWS-ICD 
Language Japanese 
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  
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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.)
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Speaker Author-1 
Date Time 2018-10-29 14:55:00 
Presentation Time 25 minutes 
Registration for HWS 
Paper # HWS2018-51, ICD2018-43 
Volume (vol) vol.118 
Number (no) no.272(HWS), no.273(ICD) 
Page pp.25-30 
#Pages
Date of Issue 2018-10-22 (HWS, ICD) 


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