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Paper Abstract and Keywords
Presentation 2019-03-07 12:10
Identification Scheme Based on the Hardness of Ideal Lattice Problems in all Rings.
Kaoru Takemure, Bagus Santoso (UEC) IT2018-81 ISEC2018-87 WBS2018-82
Abstract (in Japanese) (See Japanese page) 
(in English) Most identification schemes based on the hardness of ideal lattice problems are built upon the Ring-SIS or Ring-LWE problems. Most of these scheme are required to use a polynomial ring $mathbb{Z}_q[{bf x}]/langle {bf f} rangle$ with an explicitly specified monic, irreducible polynomial ${bf f}$. In this case, the security can only be proven for the specific polynomial ${bf f}$. The digital signature proposed by Lyubashevsky in 2016 does not need an explicit ${bf f}$ and the security depends on only the degree of ${bf f}$. In this work, we constructed an identification scheme by modifying Lyubashevsky's digital signature. Moreover, we introduce a new collision problem over $mathbb{Z}_q[{bf x}]$ for hardness assumption based on Ring-SIS over $mathbb{Z}_q[{bf x}]$ to prove the security of proposed scheme was proved security for impersonation under concurrent active attack.
Keyword (in Japanese) (See Japanese page) 
(in English) Identification scheme / Ideal lattice problem / collision problem / RejectionSample / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 478, ISEC2018-87, pp. 39-44, March 2019.
Paper # ISEC2018-87 
Date of Issue 2019-02-28 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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Conference Information
Committee IT ISEC WBS  
Conference Date 2019-03-07 - 2019-03-08 
Place (in Japanese) (See Japanese page) 
Place (in English) University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To ISEC 
Conference Code 2019-03-IT-ISEC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Identification Scheme Based on the Hardness of Ideal Lattice Problems in all Rings. 
Sub Title (in English)  
Keyword(1) Identification scheme  
Keyword(2) Ideal lattice problem  
Keyword(3) collision problem  
Keyword(4) RejectionSample  
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1st Author's Name Kaoru Takemure  
1st Author's Affiliation University of Electro-Communications (UEC)
2nd Author's Name Bagus Santoso  
2nd Author's Affiliation University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2019-03-07 12:10:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2018-81, ISEC2018-87, WBS2018-82 
Volume (vol) vol.118 
Number (no) no.477(IT), no.478(ISEC), no.479(WBS) 
Page pp.39-44 
#Pages
Date of Issue 2019-02-28 (IT, ISEC, WBS) 


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