Presentation 2021-03-04
Solving Shortest Vector Problem using annealing computation
Junpei Yamaguchi, Takuya Ohwa, Kazuyoshi Furukawa,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Lattice-based cryptography is mainly based on the security of the Shortest Vector Problem (SVP) and considered to be a prime candidate for post-quantum cryptography in the NIST Post-Quantum Cryptography Standardization. Recently, annealing computers have been realized on a large-scale, then it becomes necessary to estimate the computational hardness of the SVP with respect to them. Some techniques are proposed to solve the SVP on them, however, it takes enough annealing time to solve SVP with these techniques. In this paper, we propose pseudo-multi-spin flip algorithm to solve the SVP faster than the original techniques. In our experiments, we succeeded in solving a SVP on a 40-dimensional lattice in 8.4 seconds, which is 81.9 times faster than using the original techniques.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Shortest Vector Problem / pseudo-multi-spin slip / annealing / Ising model
Paper # IT2020-121,ISEC2020-51,WBS2020-40
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) Solving Shortest Vector Problem using annealing computation
Sub Title (in English) How to generate a hamiltonian using pseudo multispin flip method
Keyword(1) Shortest Vector Problem
Keyword(2) pseudo-multi-spin slip
Keyword(3) annealing
Keyword(4) Ising model
1st Author's Name Junpei Yamaguchi
1st Author's Affiliation Fujitsu Llaboratories(Fujitsu Llaboratories)
2nd Author's Name Takuya Ohwa
2nd Author's Affiliation Kyushu Institute of Technology(Kyushu Institute of Technology)
3rd Author's Name Kazuyoshi Furukawa
3rd Author's Affiliation Fujitsu Llaboratories(Fujitsu Llaboratories)
Date 2021-03-04
Paper # IT2020-121,ISEC2020-51,WBS2020-40
Volume (vol) vol.120
Number (no) IT-410,ISEC-411,WBS-412
Page pp.pp.58-65(IT), pp.58-65(ISEC), pp.58-65(WBS),
#Pages 8
Date of Issue 2021-02-25 (IT, ISEC, WBS)