| Presentation | 2017-03-09 Construction of covering curves of elliptic curves over finite fields of even characteristic using simple extension Seiya Kukisaki, Mahoro Simura, Jinhui Chao, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The GHS attacks present a serious threat to cryptosystems using elliptic curves over extensions of finite fields when the curves induce a covering curve over the ground fields. Thus in general the covering curve is the central subject for the GHS attack, which also provides a model and a target for security analysis and implementation of the attack. However, explicit construction of such covering curves is non trivial. Diem and Hashizume et al. shown different methods to construct covering curves over extension fields of odd characteristic, e.g. cubic extensions. On the other hand, general algorithms to find covering curves for even characteristic case seemed not available. In this paper, we show a method of construction covering curves based on theory of simple extension fields and obtain covering curves of elliptic curves over quadratic extension fields ofeven characteristic. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Elliptic curve cryptography / GHS attack / Simple extension |
| Paper # | IT2016-111,ISEC2016-101,WBS2016-87 |
| Date of Issue | 2017-03-02 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | ISEC / WBS / IT |
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| Conference Date | 2017/3/9(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | TOKAI University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Chair | Masahiro Mambo(Kanazawa Univ.) / Fumiaki Maehara(Waseda Univ.) / Masayoshi Ohashi(Fukuoka Univ.) |
| Vice Chair | Kazuto Ogawa(NHK) / Atsushi Fujioka(Kanagawa Univ.) / Masanori Hamamura(Kochi Univ. of Tech.) / Fumie Ono(NICT) / Jun Muramatsu(NTT) |
| Secretary | Kazuto Ogawa(Toshiba) / Atsushi Fujioka(Tohoku Univ.) / Masanori Hamamura(Tokyo City Univ.) / Fumie Ono(Mitsubishi Electric) / Jun Muramatsu(Wakayama Univ.) |
| Assistant | Toshihiro Ohigashi(Tokai Univ.) / Yuuji Suga(IIJ) / Atsuo Inomata(Tokyo Denki Univ.) / Yusuke Kozawa(Tokyo Univ. of Science) / Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy) / Mitsugu Iwamoto(Univ. of Electro-Comm.) |
| Paper Information | |
| Registration To | Technical Committee on Information Security / Technical Committee on Wideband System / Technical Committee on Information Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Construction of covering curves of elliptic curves over finite fields of even characteristic using simple extension |
| Sub Title (in English) | |
| Keyword(1) | Elliptic curve cryptography |
| Keyword(2) | GHS attack |
| Keyword(3) | Simple extension |
| 1st Author's Name | Seiya Kukisaki |
| 1st Author's Affiliation | Chuo University(Chuo Univ.) |
| 2nd Author's Name | Mahoro Simura |
| 2nd Author's Affiliation | Tokai University(Tokai Univ.) |
| 3rd Author's Name | Jinhui Chao |
| 3rd Author's Affiliation | Chuo University(Chuo Univ.) |
| Date | 2017-03-09 |
| Paper # | IT2016-111,ISEC2016-101,WBS2016-87 |
| Volume (vol) | vol.116 |
| Number (no) | IT-504,ISEC-505,WBS-506 |
| Page | pp.pp.79-83(IT), pp.79-83(ISEC), pp.79-83(WBS), |
| #Pages | 5 |
| Date of Issue | 2017-03-02 (IT, ISEC, WBS) |