Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model

In a ring signature scheme, a user selects an arbitrary ring to be able to sign a message on behalf of the ring without revealing the signer’s identity. Whistle-blowers especially find this useful. To date, various ring signature schemes have been proposed, all considered to be secure as existential...

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Main Authors: Geontae Noh, Ji Young Chun, Ik Rae Jeong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/371924
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author Geontae Noh
Ji Young Chun
Ik Rae Jeong
author_facet Geontae Noh
Ji Young Chun
Ik Rae Jeong
author_sort Geontae Noh
collection DOAJ
description In a ring signature scheme, a user selects an arbitrary ring to be able to sign a message on behalf of the ring without revealing the signer’s identity. Whistle-blowers especially find this useful. To date, various ring signature schemes have been proposed, all considered to be secure as existentially unforgeable with respect to insider corruption; that is, an adversary who chooses ring-message pairs for which he requests signatures, corrupts honest users, and obtains their signing keys can not produce forgeries for new ring-message pairs. Lattice-based ring signature schemes offer lower computational overhead and security from quantum attacks. In this paper, we offer a lattice-based scheme. We begin by showing that the existing ring signature schemes are not sufficiently secure, because existential unforgeability still permits a signer to potentially produce a new signature on previously signed messages. Furthermore, we show that existing ring signature schemes from lattices are not even existentially unforgeable with respect to insider corruption. We then improve previous schemes by applying, for the first time, the concept of strong unforgeability with respect to insider corruption to a ring signature scheme in lattices. This offers more security than any previous ring signature scheme: adversaries cannot produce new signatures for any ring-message pair, including previously signed ring-message pairs.
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spelling doaj-art-9a310a93ac814e83ba4c77eda6d5ab472025-02-03T01:11:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/371924371924Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard ModelGeontae Noh0Ji Young Chun1Ik Rae Jeong2CIST (Center for Information Security Technologies), Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, Republic of KoreaCIST (Center for Information Security Technologies), Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, Republic of KoreaCIST (Center for Information Security Technologies), Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, Republic of KoreaIn a ring signature scheme, a user selects an arbitrary ring to be able to sign a message on behalf of the ring without revealing the signer’s identity. Whistle-blowers especially find this useful. To date, various ring signature schemes have been proposed, all considered to be secure as existentially unforgeable with respect to insider corruption; that is, an adversary who chooses ring-message pairs for which he requests signatures, corrupts honest users, and obtains their signing keys can not produce forgeries for new ring-message pairs. Lattice-based ring signature schemes offer lower computational overhead and security from quantum attacks. In this paper, we offer a lattice-based scheme. We begin by showing that the existing ring signature schemes are not sufficiently secure, because existential unforgeability still permits a signer to potentially produce a new signature on previously signed messages. Furthermore, we show that existing ring signature schemes from lattices are not even existentially unforgeable with respect to insider corruption. We then improve previous schemes by applying, for the first time, the concept of strong unforgeability with respect to insider corruption to a ring signature scheme in lattices. This offers more security than any previous ring signature scheme: adversaries cannot produce new signatures for any ring-message pair, including previously signed ring-message pairs.http://dx.doi.org/10.1155/2014/371924
spellingShingle Geontae Noh
Ji Young Chun
Ik Rae Jeong
Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
Journal of Applied Mathematics
title Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
title_full Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
title_fullStr Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
title_full_unstemmed Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
title_short Strongly Unforgeable Ring Signature Scheme from Lattices in the Standard Model
title_sort strongly unforgeable ring signature scheme from lattices in the standard model
url http://dx.doi.org/10.1155/2014/371924
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AT jiyoungchun stronglyunforgeableringsignatureschemefromlatticesinthestandardmodel
AT ikraejeong stronglyunforgeableringsignatureschemefromlatticesinthestandardmodel