Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme

In order to solve the problem of large key size and low efficiency in the linkable ring signature scheme on lattice, this paper reconstructs the linkable ring signature scheme from lattice based on the ring learning with errors (RLWE) problem, according to the technical route of “homomorphic commitm...

Full description

Bibliographic Details
Main Author: YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
Format: Article
Language:zho
Published: Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press 2020-07-01
Series:Jisuanji kexue yu tansuo
Subjects:
Online Access:http://fcst.ceaj.org/CN/abstract/abstract2265.shtml
_version_ 1819112554307256320
author YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
author_facet YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
author_sort YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
collection DOAJ
description In order to solve the problem of large key size and low efficiency in the linkable ring signature scheme on lattice, this paper reconstructs the linkable ring signature scheme from lattice based on the ring learning with errors (RLWE) problem, according to the technical route of “homomorphic commitment→∑-protocol→Fiat-Shamir transformation”. This paper first constructs a homomorphic commitment scheme over a polynomial ring based on the RLWE problem, and then designs a ∑-protocol based on the commitment scheme, and transforms the ∑-protocol into a linkable ring signature scheme using the Fiat-Shamir transformation methods. Finally, this paper proposes a simple digital currency model based on the linkable ring signature scheme. Security analysis shows since the proposed scheme is constructed based on the problem of RLWE, its security can reduce to the lattice-based difficult problem and resist the quantum computer attack. Efficiency analysis shows compared with the previous linkable ring signature schemes on lattice, since the ring elements in the scheme are taken from small polynomials, the proposed scheme has shorter key size and higher computational efficiency, and the description of the scheme is simpler.
first_indexed 2024-12-22T04:15:21Z
format Article
id doaj.art-bc35180a63094f1c9f55a85dff2304ce
institution Directory Open Access Journal
issn 1673-9418
language zho
last_indexed 2024-12-22T04:15:21Z
publishDate 2020-07-01
publisher Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press
record_format Article
series Jisuanji kexue yu tansuo
spelling doaj.art-bc35180a63094f1c9f55a85dff2304ce2022-12-21T18:39:26ZzhoJournal of Computer Engineering and Applications Beijing Co., Ltd., Science PressJisuanji kexue yu tansuo1673-94182020-07-011471164117210.3778/j.issn.1673-9418.1904022Using Ring Learning with Errors Problem to Construct Linkable Ring Signature SchemeYE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun0College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaIn order to solve the problem of large key size and low efficiency in the linkable ring signature scheme on lattice, this paper reconstructs the linkable ring signature scheme from lattice based on the ring learning with errors (RLWE) problem, according to the technical route of “homomorphic commitment→∑-protocol→Fiat-Shamir transformation”. This paper first constructs a homomorphic commitment scheme over a polynomial ring based on the RLWE problem, and then designs a ∑-protocol based on the commitment scheme, and transforms the ∑-protocol into a linkable ring signature scheme using the Fiat-Shamir transformation methods. Finally, this paper proposes a simple digital currency model based on the linkable ring signature scheme. Security analysis shows since the proposed scheme is constructed based on the problem of RLWE, its security can reduce to the lattice-based difficult problem and resist the quantum computer attack. Efficiency analysis shows compared with the previous linkable ring signature schemes on lattice, since the ring elements in the scheme are taken from small polynomials, the proposed scheme has shorter key size and higher computational efficiency, and the description of the scheme is simpler.http://fcst.ceaj.org/CN/abstract/abstract2265.shtmlcommitment schemezero-knowledge proofring learning with errors (rlwe)linkable ring signature
spellingShingle YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
Jisuanji kexue yu tansuo
commitment scheme
zero-knowledge proof
ring learning with errors (rlwe)
linkable ring signature
title Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
title_full Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
title_fullStr Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
title_full_unstemmed Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
title_short Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme
title_sort using ring learning with errors problem to construct linkable ring signature scheme
topic commitment scheme
zero-knowledge proof
ring learning with errors (rlwe)
linkable ring signature
url http://fcst.ceaj.org/CN/abstract/abstract2265.shtml
work_keys_str_mv AT yeqingwangwenboliyingyingqinpankezhaozongquwangyongjun usingringlearningwitherrorsproblemtoconstructlinkableringsignaturescheme