Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer

Commitment schemes (CSs) are essential to many cryptographic protocols and schemes with applications that include privacy-preserving computation on data, privacy-preserving authentication, and, in particular, oblivious transfer protocols. For quantum oblivious transfer (qOT) protocols, unconditional...

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Main Authors: Thomas Lorünser, Sebastian Ramacher, Federico Valbusa
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/7/751
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author Thomas Lorünser
Sebastian Ramacher
Federico Valbusa
author_facet Thomas Lorünser
Sebastian Ramacher
Federico Valbusa
author_sort Thomas Lorünser
collection DOAJ
description Commitment schemes (CSs) are essential to many cryptographic protocols and schemes with applications that include privacy-preserving computation on data, privacy-preserving authentication, and, in particular, oblivious transfer protocols. For quantum oblivious transfer (qOT) protocols, unconditionally binding commitment schemes that do not rely on hardness assumptions from structured mathematical problems are required. These additional constraints severely limit the choice of commitment schemes to random oracle-based constructions or Naor’s bit commitment scheme. As these protocols commit to individual bits, the use of such commitment schemes comes at a high bandwidth and computational cost. In this work, we investigate improvements to the efficiency of commitment schemes used in qOT protocols and propose an extension of Naor’s commitment scheme requiring the existence of one-way functions (OWFs) to reduce communication complexity for 2-bit strings. Additionally, we provide an interactive string commitment scheme with preprocessing to enable the fast and efficient computation of commitments.
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spelling doaj-art-232ca675b43c4d70918cd904ea7cca3b2025-08-20T03:07:55ZengMDPI AGEntropy1099-43002025-07-0127775110.3390/e27070751Commitment Schemes from OWFs with Applications to Quantum Oblivious TransferThomas Lorünser0Sebastian Ramacher1Federico Valbusa2AIT Austrian Institute of Technology, Center for Digital Safety and Security, Giefinggasse 4, 1210 Vienna, AustriaAIT Austrian Institute of Technology, Center for Digital Safety and Security, Giefinggasse 4, 1210 Vienna, AustriaAIT Austrian Institute of Technology, Center for Digital Safety and Security, Giefinggasse 4, 1210 Vienna, AustriaCommitment schemes (CSs) are essential to many cryptographic protocols and schemes with applications that include privacy-preserving computation on data, privacy-preserving authentication, and, in particular, oblivious transfer protocols. For quantum oblivious transfer (qOT) protocols, unconditionally binding commitment schemes that do not rely on hardness assumptions from structured mathematical problems are required. These additional constraints severely limit the choice of commitment schemes to random oracle-based constructions or Naor’s bit commitment scheme. As these protocols commit to individual bits, the use of such commitment schemes comes at a high bandwidth and computational cost. In this work, we investigate improvements to the efficiency of commitment schemes used in qOT protocols and propose an extension of Naor’s commitment scheme requiring the existence of one-way functions (OWFs) to reduce communication complexity for 2-bit strings. Additionally, we provide an interactive string commitment scheme with preprocessing to enable the fast and efficient computation of commitments.https://www.mdpi.com/1099-4300/27/7/751oblivious transferquantum cryptographycommitment scheme
spellingShingle Thomas Lorünser
Sebastian Ramacher
Federico Valbusa
Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
Entropy
oblivious transfer
quantum cryptography
commitment scheme
title Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
title_full Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
title_fullStr Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
title_full_unstemmed Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
title_short Commitment Schemes from OWFs with Applications to Quantum Oblivious Transfer
title_sort commitment schemes from owfs with applications to quantum oblivious transfer
topic oblivious transfer
quantum cryptography
commitment scheme
url https://www.mdpi.com/1099-4300/27/7/751
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AT sebastianramacher commitmentschemesfromowfswithapplicationstoquantumoblivioustransfer
AT federicovalbusa commitmentschemesfromowfswithapplicationstoquantumoblivioustransfer