Presentation | 2022-03-10 A study of explicit formulae of the isogenies between abelian surfaces Daiki Hayashida, Masahiro Ishii, |
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PDF Download Page | PDF download Page Link |
Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | In this paper, we focus on isogenies over abelian varieties for isogeny-based cryptography and propose the efficient algorithms of the hash function using $(3,3)$-isogenies. We give an algebraic relation of the polynomials in the hash function algorithm and this results in about $17.2%$ reduction in complexity as compared to the implementation of the previous work. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Isogeny-based cryptography / abelian surfaces / hash function / $(3,3)$-isogeny |
Paper # | IT2021-104,ISEC2021-69,WBS2021-72,RCC2021-79 |
Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |
Conference Information | |
Committee | IT / ISEC / RCC / WBS |
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Conference Date | 2022/3/10(2days) |
Place (in Japanese) | (See Japanese page) |
Place (in English) | Online |
Topics (in Japanese) | (See Japanese page) |
Topics (in English) | Joint Meeting of ISEC, IT, RCC, and WBS |
Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Tetsuya Izu(Fujitsu Labs.) / HUAN-BANG LI(NICT) / Masanori Hamamura(Kochi Univ. of Tech.) |
Vice Chair | Tetsuya Kojima(Tokyo Kosen) / Noboru Kunihiro(Tsukuba Univ.) / Goichiro Hanaoka(AIST) / Shunichi Azuma(Nagoya Univ.) / Koji Ishii(Kagawa Univ.) / Takashi Shono(INTEL) / Masahiro Fujii(Utsunomiya Univ.) |
Secretary | Tetsuya Kojima(Saitamai Univ.) / Noboru Kunihiro(Yamaguchi Univ.) / Goichiro Hanaoka(Fujitsu Labs.) / Shunichi Azuma(Ibaraki Univ.) / Koji Ishii(CRIEPI) / Takashi Shono(Osaka Univ.) / Masahiro Fujii(National Defence Academy) |
Assistant | Masanori Hirotomo(Saga Univ.) / Takahiro Matsuda(AIST) / SHAN LIN(NICT) / Masaki Ogura(Osaka Univ.) / Masayuki Kinoshita(Chiba Univ. of Tech.) / Sun Ran(Ibaraki Univ.) |
Paper Information | |
Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Reliable Communication and Control / Technical Committee on Wideband System |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | A study of explicit formulae of the isogenies between abelian surfaces |
Sub Title (in English) | |
Keyword(1) | Isogeny-based cryptography |
Keyword(2) | abelian surfaces |
Keyword(3) | hash function |
Keyword(4) | $(3,3)$-isogeny |
1st Author's Name | Daiki Hayashida |
1st Author's Affiliation | Mitsubishi Electric Corporation(Mitsubishi Electric Corp.) |
2nd Author's Name | Masahiro Ishii |
2nd Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
Date | 2022-03-10 |
Paper # | IT2021-104,ISEC2021-69,WBS2021-72,RCC2021-79 |
Volume (vol) | vol.121 |
Number (no) | IT-428,ISEC-429,WBS-430,RCC-431 |
Page | pp.pp.122-129(IT), pp.122-129(ISEC), pp.122-129(WBS), pp.122-129(RCC), |
#Pages | 8 |
Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |