| Presentation | 2018-07-26 A New Embedding Method for Generalized LWE Weiyao Wang, Yuntao Wang, Atsushi Takayasu, Tsuyoshi Takagi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Estimating the computational cost for solving learning with errors (LWE) problem is an indispensable research topic to use lattice-based cryptography in practice. For the purpose, the embedding approach is usually employed. The technique first constructs a basis matrix by embedding an LWE instance. At this stage, Kannan's and Bai-Galbraith's embedding is believed to be the most efficient approach for the standard and the binary LWE with secret vectors in Zn and {0,1}^n, respectively. Indeed, both methods work well with sufficiently many LWE samples. After the embedding phase, solving the unique SVP in the lattice spanned by the basis matrix results in solving LWE. Recently, to realize efficient implementations, there are several lattice-based schemes whose secret vectors have special distributions, e.g., small elements and/or sparse vectors. In this paper, to capture such settings and more, we study the LWE problem in a general setting. We analyze the LWE whose secret vectors are sampled from arbitrary distributions. Furthermore, we also study the problem when the number of samples is restricted. We believe that our work provides more general understanding on the hardness of LWE. Technically, we propose half-twisted embedding that contains the existing two embedding methods as special cases. The modification enables us to analyze in a generic manner and sometimes provides improved attacks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Post-quantum cryptographylattice-based cryptographylearning with errorsembedding techniqueshortest vector problem |
| Paper # | ISEC2018-46,SITE2018-38,HWS2018-43,ICSS2018-49,EMM2018-45 |
| Date of Issue | 2018-07-18 (ISEC, SITE, HWS, ICSS, EMM) |
| Conference Information | |
| Committee | HWS / ISEC / SITE / ICSS / EMM / IPSJ-CSEC / IPSJ-SPT |
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| Conference Date | 2018/7/25(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Sapporo Convention Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Security, etc. |
| Chair | Tsutomu Matsumoto(Yokohama National Univ.) / Atsushi Fujioka(Kanagawa Univ.) / Tetsuya Morizumi(Kanagawa Univ.) / Yoshiaki Shiraishi(Kobe Univ.) / Keiichi Iwamura(TUC) |
| Vice Chair | Shinichi Kawamura(Toshiba) / Makoto Ikeda(Univ. of Tokyo) / Shiho Moriai(NICT) / Shoichi Hirose(Univ. of Fukui) / Masaru Ogawa(Kobe Gakuin Univ.) / Takushi Otani(Kibi International Univ.) / Hiroki Takakura(NII) / Katsunari Yoshioka(Yokohama National Univ.) / Minoru Kuribayashi(Okayama Univ.) / Tetsuya Kojima(NIT,Tokyo College) |
| Secretary | Shinichi Kawamura(Kobe Univ.) / Makoto Ikeda(SECOM) / Shiho Moriai(Tokai Univ.) / Shoichi Hirose(NICT) / Masaru Ogawa(Tokyo Univ. of the Arts) / Takushi Otani(Toyo Eiwa Univ.) / Hiroki Takakura(NTT) / Katsunari Yoshioka(NICT) / Minoru Kuribayashi(NIT, Tokyo) / Tetsuya Kojima(Tyukyo Univ.) |
| Assistant | / Kazunari Omote(Tsukuba Univ.) / Yuuji Suga(IIJ) / Hisanori Kato(KDDI Research) / Nobuyuki Yoshinaga(Yamaguchi Pref Univ.) / Daisuke Suzuki(Hokuriku Univ.) / Akira Yamada(KDDI labs.) / Keisuke Kito(Mitsubishi Electric) / Hiroko Akiyama(National Institute of Technology, Nagano College) / キタヒロ カネダ(CANON) |
| Paper Information | |
| Registration To | Technical Committee on Hardware Security / Technical Committee on Information Security / Technical Committee on Social Implications of Technology and Information Ethics / Technical Committee on Information and Communication System Security / Technical Committee on Enriched MultiMedia / Special Interest Group on Computer Security / Special Interest Group on Security Psychology and Trust |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A New Embedding Method for Generalized LWE |
| Sub Title (in English) | |
| Keyword(1) | Post-quantum cryptographylattice-based cryptographylearning with errorsembedding techniqueshortest vector problem |
| 1st Author's Name | Weiyao Wang |
| 1st Author's Affiliation | University of Tokyo(Univ. Tokyo) |
| 2nd Author's Name | Yuntao Wang |
| 2nd Author's Affiliation | University of Tokyo(Univ. Tokyo) |
| 3rd Author's Name | Atsushi Takayasu |
| 3rd Author's Affiliation | University of Tokyo(Univ. Tokyo) |
| 4th Author's Name | Tsuyoshi Takagi |
| 4th Author's Affiliation | University of Tokyo(Univ. Tokyo) |
| Date | 2018-07-26 |
| Paper # | ISEC2018-46,SITE2018-38,HWS2018-43,ICSS2018-49,EMM2018-45 |
| Volume (vol) | vol.118 |
| Number (no) | ISEC-151,SITE-152,HWS-153,ICSS-154,EMM-155 |
| Page | pp.pp.363-370(ISEC), pp.363-370(SITE), pp.363-370(HWS), pp.363-370(ICSS), pp.363-370(EMM), |
| #Pages | 8 |
| Date of Issue | 2018-07-18 (ISEC, SITE, HWS, ICSS, EMM) |