Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model

Identity-based signature (IBS) which is a paradigm built on public key cryptography has played a significant role in light-weight authentication. With the advent of the post quantum era, the lattice has become a main mathematical tool to construct quantum-immune cryptographic schemes. By utilizing a...

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Main Authors: Zecheng Wang, Xuemin Chen, Pingshui Wang
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8053461/
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author Zecheng Wang
Xuemin Chen
Pingshui Wang
author_facet Zecheng Wang
Xuemin Chen
Pingshui Wang
author_sort Zecheng Wang
collection DOAJ
description Identity-based signature (IBS) which is a paradigm built on public key cryptography has played a significant role in light-weight authentication. With the advent of the post quantum era, the lattice has become a main mathematical tool to construct quantum-immune cryptographic schemes. By utilizing an admissible hash function with compatible algorithms and lattice trapdoors as basic building blocks, we propose a new IBS scheme over lattices. The scheme is proved existentially unforgeable against adaptive identity attacks and chosen message attacks in the standard model under inhomogeneous short integer solution assumption via the generalized partitioning proof technique. Moreover, the scheme needs only logarithmic basic matrices as master public key while keeping the same private key size and signature size as those of other standard model lattice-based IBS schemes. This construction is the first adaptive-ID secure standard model IBS scheme over lattice with such space efficiency.
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spelling doaj.art-6eb8687ebf7b4ba5ae5a7cdd13ba759c2022-12-21T23:06:04ZengIEEEIEEE Access2169-35362017-01-015207912079910.1109/ACCESS.2017.27574648053461Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard ModelZecheng Wang0https://orcid.org/0000-0003-2339-8691Xuemin Chen1Pingshui Wang2School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, ChinaDepartment of Engineering, Texas Southern University, Houston, TX, USASchool of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, ChinaIdentity-based signature (IBS) which is a paradigm built on public key cryptography has played a significant role in light-weight authentication. With the advent of the post quantum era, the lattice has become a main mathematical tool to construct quantum-immune cryptographic schemes. By utilizing an admissible hash function with compatible algorithms and lattice trapdoors as basic building blocks, we propose a new IBS scheme over lattices. The scheme is proved existentially unforgeable against adaptive identity attacks and chosen message attacks in the standard model under inhomogeneous short integer solution assumption via the generalized partitioning proof technique. Moreover, the scheme needs only logarithmic basic matrices as master public key while keeping the same private key size and signature size as those of other standard model lattice-based IBS schemes. This construction is the first adaptive-ID secure standard model IBS scheme over lattice with such space efficiency.https://ieeexplore.ieee.org/document/8053461/Adaptive identityidentity-based signaturelatticesecuritystandard model
spellingShingle Zecheng Wang
Xuemin Chen
Pingshui Wang
Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
IEEE Access
Adaptive identity
identity-based signature
lattice
security
standard model
title Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
title_full Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
title_fullStr Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
title_full_unstemmed Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
title_short Adaptive-ID Secure Identity-Based Signature Scheme from Lattices in the Standard Model
title_sort adaptive id secure identity based signature scheme from lattices in the standard model
topic Adaptive identity
identity-based signature
lattice
security
standard model
url https://ieeexplore.ieee.org/document/8053461/
work_keys_str_mv AT zechengwang adaptiveidsecureidentitybasedsignatureschemefromlatticesinthestandardmodel
AT xueminchen adaptiveidsecureidentitybasedsignatureschemefromlatticesinthestandardmodel
AT pingshuiwang adaptiveidsecureidentitybasedsignatureschemefromlatticesinthestandardmodel