Presentation 2021-03-04
Security analysis for the isogeny-based cryptography CSIDH
Hayato Arai, Atsuko Miyaji, Kenta Kodera,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) CSIDH (Commutative Supersingular Isogeny Diffie Hellman) is a kind of post-quantum cryptography that uses isogenies to enable efficient key sharing. CSIDH uses a supersingular elliptic curve on a finite field whose characteristic is a prime number p satisfying certain conditions, and compute the elliptic curve of the image of l1^e1・・・ln^en-isogeny as a shared key. CSIDH is vulnerable to side-channel attacks because the execution time varies with the secret key, where (e1, ..en) is a secret key. There are two types of constant-time CSIDH: MCR and CCCDRS. It is said that the MCR method is weak against fault injection attacks, while the CCCDRS method is more resistant. In this study, we propose a method for the fault injection attack against the CCCDRS method. In addition, by considering the combination of the MCR and CCCDRS methods, we propose a CSIDH with the same speed as the CSIDH using the MCR method, but with a higher security level.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) post-quantum cryptography / isogeny-based cryptography / CSIDH / fault injection attack
Paper # IT2020-123,ISEC2020-53,WBS2020-42
Date of Issue 2021-02-25 (IT, ISEC, WBS)

Conference Information
Committee WBS / IT / ISEC
Conference Date 2021/3/4(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Joint Meeting of WBS, IT, and ISEC
Chair Masanori Hamamura(Kochi Univ. of Tech.) / Tadashi Wadayama(Nagoya Inst. of Tech.) / Shoichi Hirose(Univ. of Fukui)
Vice Chair Takashi Shono(INTEL) / Masahiro Fujii(Utsunomiya Univ.) / Tetsuya Kojima(Tokyo Kosen) / Tetsuya Izu(Fujitsu Labs.) / Noboru Kunihiro(Tsukuba Univ.)
Secretary Takashi Shono(Okayama Univ. of Science) / Masahiro Fujii(National Defence Academy) / Tetsuya Kojima(Yamaguchi Univ.) / Tetsuya Izu(Saga Univ.) / Noboru Kunihiro(Tsukuba Univ.)
Assistant Duong Quang Thang(NAIST) / Masafumi Moriyama(NICT) / Masayuki Kinoshita(Chiba Univ. of Tech.) / Takahiro Ohta(Senshu Univ.) / Kazuki Yoneyama(Ibaraki Univ.)

Paper Information
Registration To Technical Committee on Wideband System / Technical Committee on Information Theory / Technical Committee on Information Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Security analysis for the isogeny-based cryptography CSIDH
Sub Title (in English)
Keyword(1) post-quantum cryptography
Keyword(2) isogeny-based cryptography
Keyword(3) CSIDH
Keyword(4) fault injection attack
1st Author's Name Hayato Arai
1st Author's Affiliation Osaka University(Osaka Univ.)
2nd Author's Name Atsuko Miyaji
2nd Author's Affiliation Osaka University(Osaka Univ.)
3rd Author's Name Kenta Kodera
3rd Author's Affiliation Osaka University(Osaka Univ.)
Date 2021-03-04
Paper # IT2020-123,ISEC2020-53,WBS2020-42
Volume (vol) vol.120
Number (no) IT-410,ISEC-411,WBS-412
Page pp.pp.73-80(IT), pp.73-80(ISEC), pp.73-80(WBS),
#Pages 8
Date of Issue 2021-02-25 (IT, ISEC, WBS)