Presentation 2017-05-12
[Invited Talk] Partitioning via Non-linear Polynomial Functions: More Compact IBEs from Ideal Lattices and Bilinear Maps
Shuichi Katsumata, Shota Yamada,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we present new adaptively secure identity-based encryption (IBE) schemes. One of the distinguishing properties of the schemes is that it achieves shorter public parameters than previous schemes. Both of our schemes follow the general framework presented in the recent IBE scheme of Yamada (Eurocrypt 2016), employed with novel techniques tailored to meet the underlying algebraic structure to overcome the difficulties arising in our specific setting. Specifically, we obtain the following:- Our first scheme is proven secure under the ring learning with errors (RLWE) assumption and achieves the best asymptotic space efficiency among existing schemes from the same assumption. The main technical contribution is in our new security proof that exploits the ring structure in a crucial way. Our technique allows us to greatly weaken the underlying hardness assumption (e.g., we assume the hardness of RLWE with a fixed polynomial approximation factor whereas Yamada's scheme requires a super-polynomial approximation factor) while improving the overall efficiency. - Our second IBE scheme is constructed on bilinear maps and is secure under the $3$-computational bilinear Diffie-Hellman exponent assumption. This is the first IBE scheme based on the hardness of a computational/search problem, rather than a decisional problem such as DDH and DLIN on bilinear maps with sub-linear public parameter size.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) identity-based encryptionLWEideal latticebilinear map
Paper # ISEC2017-11
Date of Issue 2017-05-05 (ISEC)

Conference Information
Committee ISEC
Conference Date 2017/5/12(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Kikai-Shinko-Kaikan Bldg.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Masahiro Mambo(Kanazawa Univ.)
Vice Chair Kazuto Ogawa(NHK) / Atsushi Fujioka(Kanagawa Univ.)
Secretary Kazuto Ogawa(Toshiba) / Atsushi Fujioka(Tohoku Univ.)
Assistant Toshihiro Ohigashi(Tokai Univ.) / Yuuji Suga(IIJ) / Atsuo Inomata(Tokyo Denki Univ.)

Paper Information
Registration To Technical Committee on Information Security
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) [Invited Talk] Partitioning via Non-linear Polynomial Functions: More Compact IBEs from Ideal Lattices and Bilinear Maps
Sub Title (in English)
Keyword(1) identity-based encryptionLWEideal latticebilinear map
1st Author's Name Shuichi Katsumata
1st Author's Affiliation The University of Tokyo(Univ. of Tokyo)
2nd Author's Name Shota Yamada
2nd Author's Affiliation National Institute of Advanced Industrial Science and Technology(AIST)
Date 2017-05-12
Paper # ISEC2017-11
Volume (vol) vol.117
Number (no) ISEC-25
Page pp.pp.61-61(ISEC),
#Pages 1
Date of Issue 2017-05-05 (ISEC)