Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices

This paper presents a new threshold signature scheme based on Damgaard’s work. The proposed scheme allows for changing the message signature threshold, thereby improving the flexibility of the original Damgaard scheme. This scheme can be applied as a user authentication system using wearable devices...

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Main Authors: Anton Leevik, Vadim Davydov, Sergey Bezzateev
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Cryptography
Subjects:
Online Access:https://www.mdpi.com/2410-387X/7/3/33
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author Anton Leevik
Vadim Davydov
Sergey Bezzateev
author_facet Anton Leevik
Vadim Davydov
Sergey Bezzateev
author_sort Anton Leevik
collection DOAJ
description This paper presents a new threshold signature scheme based on Damgaard’s work. The proposed scheme allows for changing the message signature threshold, thereby improving the flexibility of the original Damgaard scheme. This scheme can be applied as a user authentication system using wearable devices. Based on the hardness of lattice problems, this scheme is resistant to attacks on a quantum computer, which is an advantage over the currently used multi-factor authentication schemes. The scheme’s security relies on the computational complexity of the Module-LWE and Module-SIS problems, as well as the Shamir secret sharing scheme’s security.
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spelling doaj.art-5db820bbfb6746bf97d91035a2ea10112023-11-19T10:08:32ZengMDPI AGCryptography2410-387X2023-07-01733310.3390/cryptography7030033Threshold Lattice-Based Signature Scheme for Authentication by Wearable DevicesAnton Leevik0Vadim Davydov1Sergey Bezzateev2Faculty of Secure Information Technologies, ITMO University, 197101 Saint Petersburg, RussiaFaculty of Secure Information Technologies, ITMO University, 197101 Saint Petersburg, RussiaDepartment of Information Security, State University of Aerospace Instrumentation, 190000 Saint Petersubrg, RussiaThis paper presents a new threshold signature scheme based on Damgaard’s work. The proposed scheme allows for changing the message signature threshold, thereby improving the flexibility of the original Damgaard scheme. This scheme can be applied as a user authentication system using wearable devices. Based on the hardness of lattice problems, this scheme is resistant to attacks on a quantum computer, which is an advantage over the currently used multi-factor authentication schemes. The scheme’s security relies on the computational complexity of the Module-LWE and Module-SIS problems, as well as the Shamir secret sharing scheme’s security.https://www.mdpi.com/2410-387X/7/3/33digital signaturelattice theorylattice-based cryptographythreshold signaturesecret sharing scheme
spellingShingle Anton Leevik
Vadim Davydov
Sergey Bezzateev
Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
Cryptography
digital signature
lattice theory
lattice-based cryptography
threshold signature
secret sharing scheme
title Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
title_full Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
title_fullStr Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
title_full_unstemmed Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
title_short Threshold Lattice-Based Signature Scheme for Authentication by Wearable Devices
title_sort threshold lattice based signature scheme for authentication by wearable devices
topic digital signature
lattice theory
lattice-based cryptography
threshold signature
secret sharing scheme
url https://www.mdpi.com/2410-387X/7/3/33
work_keys_str_mv AT antonleevik thresholdlatticebasedsignatureschemeforauthenticationbywearabledevices
AT vadimdavydov thresholdlatticebasedsignatureschemeforauthenticationbywearabledevices
AT sergeybezzateev thresholdlatticebasedsignatureschemeforauthenticationbywearabledevices