Presentation 2019-11-01
A Design of Isogeny-Based Cryptographic Hardware Architecture Using Residue Number System
Shuto Funakoshi, Rei Ueno, Naofumi Homma,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we will propose an efficient hardware architecture of isogeny-based cryptography. The proposed architecture utilizes the newly designed multiplier over an imaginary finite field with a characteristic of a huge prime (i.e., Fp2 ) to efficiently perform the Fp2 multiplication that occupies most major part of the computation of isogeny-based cryptography. The proposed multiplier is based on an optimized residue number system (Q-RNS) and utilizes Karatsuba method to perform Fp2 multiplications in parallel. In this paper, we evaluate the designed datapath on Xilinx Kintex Ultrascale+, and show the estimation of latency when we realize an isogeny-based cryptography using the proposed multiplier.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Isogeny-based cryptogaphy / Montgomery Residue Number System(RNS) multiplication / Hardware implementation / Post-quantum cryptography
Paper # HWS2019-60,ICD2019-21
Date of Issue 2019-10-25 (HWS, ICD)

Conference Information
Committee HWS / ICD
Conference Date 2019/11/1(1days)
Place (in Japanese) (See Japanese page)
Place (in English) DNP Namba SS Bld.
Topics (in Japanese) (See Japanese page)
Topics (in English) Hardware Security, etc.
Chair Shinichi Kawamura(Toshiba) / Makoto Nagata(Kobe Univ.)
Vice Chair Makoto Ikeda(Univ. of Tokyo) / Yasuhisa Shimazaki(Renesas Electronics) / Masafumi Takahashi(Toshiba-memory)
Secretary Makoto Ikeda(SECOM) / Yasuhisa Shimazaki(Kyushu Univ.) / Masafumi Takahashi(Tohoku Univ.)
Assistant / Tetsuya Hirose(Osaka Univ.) / Koji Nii(Floadia) / Takeshi Kuboki(Kyushu Univ.)

Paper Information
Registration To Technical Committee on Hardware Security / Technical Committee on Integrated Circuits and Devices
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Design of Isogeny-Based Cryptographic Hardware Architecture Using Residue Number System
Sub Title (in English)
Keyword(1) Isogeny-based cryptogaphy
Keyword(2) Montgomery Residue Number System(RNS) multiplication
Keyword(3) Hardware implementation
Keyword(4) Post-quantum cryptography
1st Author's Name Shuto Funakoshi
1st Author's Affiliation Research Institute of Electrical Communication Tohoku University(RIEC Tohoku Univ.)
2nd Author's Name Rei Ueno
2nd Author's Affiliation Research Institute of Electrical Communication Tohoku University(RIEC Tohoku Univ.)
3rd Author's Name Naofumi Homma
3rd Author's Affiliation Research Institute of Electrical Communication Tohoku University(RIEC Tohoku Univ.)
Date 2019-11-01
Paper # HWS2019-60,ICD2019-21
Volume (vol) vol.119
Number (no) HWS-260,ICD-261
Page pp.pp.19-24(HWS), pp.19-24(ICD),
#Pages 6
Date of Issue 2019-10-25 (HWS, ICD)