Peeter Laud
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Peeter Laud has a total of 90 co-authors. Here are the top co-authors by number of shared publications:
Alisa Pankova
Cybernetica AS
8 shared publications- Alisa Pankova
Cybernetica Tartu Estonia
7 shared publications - Jelizaveta Vakarjuk
Cybernetica AS
7 shared publications - Mohammad Anagreh
Institute of Computer Science, University of Tartu, Narva Mnt. 18, 51009 Tartu, Estonia
7 shared publications - Ahto Buldas
Centre for Digital Forensics and Cyber Security, Tallinn University of Technology, Tallinn, Estonia
6 shared publications - Nikita Snetkov
Cybernetica AS
6 shared publications
Latest Publications
- 27 September 2026
- Published by Springer Nature
- p. 502-521
Trilithium: Efficient and Universally Composable Distributed ML-DSA Signing
- 27 September 2026
- Published by Springer Nature
- p. 502-521
Trilithium: Efficient and Universally Composable Distributed ML-DSA Signing
- Open Access
- 4 May 2026
- Published by International Association for Cryptologic Research in IACR Communications in Cryptology
- Vol. 3 (1)
Universally Composable Server-Supported Signatures for Smartphones
Smart-ID is a signing and authentication service available to residents of Belgium, Estonia, Iceland, Latvia and Lithuania. Such smartphone-based signing service delivers the usability of software keys with security guarantees of ID-cards by relying on a remote server to compensate for weak device protection. Security of current Smart-ID relies on multi-prime server-supported RSA, password-authenticated key shares and clone detection mechanism. Unfortunately, the security properties of the underlying protocol (Buldas et al. ESORICS 2017) have been specified only in “game-based” manner. In other words, there are no guarantees for the protocol being secure in concurrent setting. We remedy this shortcoming by presenting two ideal functionalities ℱ gSpl and ℱ Sig Spl for server-supported signing in Universal Composability model. We show that improved RSA server-supported protocol realizes ℱ gSpl and give practical example of server-supported ECDSA protocol realizing ℱ ECDSA Spl .
- 4 May 2026
- Published by International Association for Cryptologic Research in IACR Communications in Cryptology
- Vol. 3 (1)
Open AccessUniversally Composable Server-Supported Signatures for Smartphones
Smart-ID is a signing and authentication service available to residents of Belgium, Estonia, Iceland, Latvia and Lithuania. Such smartphone-based signing service delivers the usability of software keys with security guarantees of ID-cards by relying on a remote server to compensate for weak device protection. Security of current Smart-ID relies on multi-prime server-supported RSA, password-authenticated key shares and clone detection mechanism. Unfortunately, the security properties of the underlying protocol (Buldas et al. ESORICS 2017) have been specified only in “game-based” manner. In other words, there are no guarantees for the protocol being secure in concurrent setting. We remedy this shortcoming by presenting two ideal functionalities ℱ gSpl and ℱ Sig Spl for server-supported signing in Universal Composability model. We show that improved RSA server-supported protocol realizes ℱ gSpl and give practical example of server-supported ECDSA protocol realizing ℱ ECDSA Spl .
- 10 October 2025
- Published by Springer Nature
- p. 88-107
Electrum: UC Fail-Stop Server-Supported Signatures
- 10 October 2025
- Published by Springer Nature
- p. 88-107
Electrum: UC Fail-Stop Server-Supported Signatures
- 10 August 2025
- Published by Springer Nature
- p. 165-182
Novel Approximations of Elementary Functions in Zero-Knowledge Proofs
- 10 August 2025
- Published by Springer Nature
- p. 165-182
Novel Approximations of Elementary Functions in Zero-Knowledge Proofs
- Open Access
- 10 August 2025
- Published by Springer Nature
- p. 343-360
Zero-Knowledge Proof-of-Location Protocols for Vehicle Subsidies and Taxation Compliance
This paper introduces a new set of privacy-preserving mechanisms for verifying compliance with location-based policies for vehicle taxation, or for (electric) vehicle (EV) subsidies, using Zero-Knowledge Proofs (ZKPs). We present the design and evaluation of a Zero-Knowledge Proof-of-Location (ZK-PoL) system that ensures a vehicle’s adherence to territorial driving requirements without disclosing specific location data, hence maintaining user privacy. Our findings suggest a promising approach to apply ZK-PoL protocols in large-scale governmental subsidy or taxation programs.
- 10 August 2025
- Published by Springer Nature
- p. 343-360
Open AccessZero-Knowledge Proof-of-Location Protocols for Vehicle Subsidies and Taxation Compliance
This paper introduces a new set of privacy-preserving mechanisms for verifying compliance with location-based policies for vehicle taxation, or for (electric) vehicle (EV) subsidies, using Zero-Knowledge Proofs (ZKPs). We present the design and evaluation of a Zero-Knowledge Proof-of-Location (ZK-PoL) system that ensures a vehicle’s adherence to territorial driving requirements without disclosing specific location data, hence maintaining user privacy. Our findings suggest a promising approach to apply ZK-PoL protocols in large-scale governmental subsidy or taxation programs.
- Open Access
Zero-Knowledge Proof-of-Location Protocols for Vehicle Subsidies and Taxation Compliance
This paper introduces a new set of privacy-preserving mechanisms for verifying compliance with location-based policies for vehicle taxation, or for (electric) vehicle (EV) subsidies, using Zero-Knowledge Proofs (ZKPs). We present the design and evaluation of a Zero-Knowledge Proof-of-Location (ZK-PoL) system that ensures a vehicle's adherence to territorial driving requirements without disclosing specific location data, hence maintaining user privacy. Our findings suggest a promising approach to apply ZK-PoL protocols in large-scale governmental subsidy or taxation programs.
Open AccessZero-Knowledge Proof-of-Location Protocols for Vehicle Subsidies and Taxation Compliance
This paper introduces a new set of privacy-preserving mechanisms for verifying compliance with location-based policies for vehicle taxation, or for (electric) vehicle (EV) subsidies, using Zero-Knowledge Proofs (ZKPs). We present the design and evaluation of a Zero-Knowledge Proof-of-Location (ZK-PoL) system that ensures a vehicle's adherence to territorial driving requirements without disclosing specific location data, hence maintaining user privacy. Our findings suggest a promising approach to apply ZK-PoL protocols in large-scale governmental subsidy or taxation programs.
- 20 June 2025
- Published by Springer Nature
- p. 158-175
Two-Party ECDSA with JavaCard-Based Smartcards
- Open Access
- 26 December 2024
- Published by MDPI AG in Cryptography
- Vol. 9 (1) , 1
Security Proof of Single-Source Shortest Distance Protocols Built on Secure Multiparty Computation Protocols
Secure secret-sharing Single-Source Shortest Distance (SSSD) protocols, based on secure multiparty computation (SMC), offer a promising solution for securely distributing and managing sensitive information among multiple parties. However, formal security proofs for these protocols have largely been unexplored. This paper addresses this gap by providing the first security proof for the SSSD protocols using the privacy-preserving Bellman–Ford protocols. These new protocols offer significant enhancements in efficiency, particularly in handling large-scale graphs due to parallel computation. In our previous work, published in MDPI Cryptography, we introduced these protocols and presented extensive experiments on the Sharemind system that demonstrated their efficiency. However, that work did not include security proofs. Building on this foundation, the current paper rigorously proves the security of these protocols, offering valuable insights into their robustness and reliability. Furthermore, we discuss the adversarial model, security definitions, cryptographic assumptions, and sophisticated reduction techniques employed in the proof. This paper not only validates the security of the proposed protocols but also provides a detailed comparison of their performance with existing methods, highlighting their strengths and potential for future research in the field.
- 26 December 2024
- Published by MDPI AG in Cryptography
- Vol. 9 (1) , 1
Open AccessSecurity Proof of Single-Source Shortest Distance Protocols Built on Secure Multiparty Computation Protocols
Secure secret-sharing Single-Source Shortest Distance (SSSD) protocols, based on secure multiparty computation (SMC), offer a promising solution for securely distributing and managing sensitive information among multiple parties. However, formal security proofs for these protocols have largely been unexplored. This paper addresses this gap by providing the first security proof for the SSSD protocols using the privacy-preserving Bellman–Ford protocols. These new protocols offer significant enhancements in efficiency, particularly in handling large-scale graphs due to parallel computation. In our previous work, published in MDPI Cryptography, we introduced these protocols and presented extensive experiments on the Sharemind system that demonstrated their efficiency. However, that work did not include security proofs. Building on this foundation, the current paper rigorously proves the security of these protocols, offering valuable insights into their robustness and reliability. Furthermore, we discuss the adversarial model, security definitions, cryptographic assumptions, and sophisticated reduction techniques employed in the proof. This paper not only validates the security of the proposed protocols but also provides a detailed comparison of their performance with existing methods, highlighting their strengths and potential for future research in the field.
- Open Access
Privacy-preserving server-supported decryption
In this paper, we consider encryption systems with two-out-of-two threshold decryption, where one of the parties (the client) initiates the decryption and the other one (the server) assists. Existing threshold decryption schemes disclose to the server the ciphertext that is being decrypted. We give a construction, where the identity of the ciphertext is not leaked to the server, and the client's privacy is thus preserved. While showing the security of this construction, we run into the issue of defining the security of a scheme with blindly assisted decryption. We discuss previously proposed security definitions for similar cryptographic functionalities and argue why they do not capture the expected meaning of security. We propose an ideal functionality for the encryption with server-supported blind threshold decryption in the universal composability model, carefully balancing between the meaning of privacy, and the ability to implement it. We construct a protocol and show that it is a secure implementation of the proposed functionality in the random oracle model.
Open AccessPrivacy-preserving server-supported decryption
In this paper, we consider encryption systems with two-out-of-two threshold decryption, where one of the parties (the client) initiates the decryption and the other one (the server) assists. Existing threshold decryption schemes disclose to the server the ciphertext that is being decrypted. We give a construction, where the identity of the ciphertext is not leaked to the server, and the client's privacy is thus preserved. While showing the security of this construction, we run into the issue of defining the security of a scheme with blindly assisted decryption. We discuss previously proposed security definitions for similar cryptographic functionalities and argue why they do not capture the expected meaning of security. We propose an ideal functionality for the encryption with server-supported blind threshold decryption in the universal composability model, carefully balancing between the meaning of privacy, and the ability to implement it. We construct a protocol and show that it is a secure implementation of the proposed functionality in the random oracle model.
- Open Access
- 1 October 2024
- Published by MDPI AG in Preprints.org
Security Proof of SSSD Protocols Built on Top of SMC Protocol
Secure Secret Sharing Single-Source Shortest Distance (SSSD) protocols, built on the Secure Multi-Party Computation (SMC) foundation, have emerged as a promising solution to address the secure distribution and management of sensitive secrets among multiple parties. This paper focuses on the crucial aspect of security proof within SSSD protocols based on SMC, aiming to provide a scientifically rigorous understanding of the formal verification process and the robust guarantees they offer. Through a comprehensive examination of the fundamental principles underpinning SMC and the specific design considerations unique to SSSD protocols, this paper meticulously explores the key components and intricate steps involved in constructing a rigorous security proof. Furthermore, it discusses the adversarial model, precise security definitions, cryptographic assumptions utilized within the proof, and sophisticated techniques and reductions to establish its validity. By means of a meticulous analysis of the security proof for SSSD protocols, this paper critically evaluates both the strengths and limitations of the proposed approach, offering valuable insights to inform future research and development within this significant domain of study.
- 1 October 2024
- Published by MDPI AG in Preprints.org
Open AccessSecurity Proof of SSSD Protocols Built on Top of SMC Protocol
Secure Secret Sharing Single-Source Shortest Distance (SSSD) protocols, built on the Secure Multi-Party Computation (SMC) foundation, have emerged as a promising solution to address the secure distribution and management of sensitive secrets among multiple parties. This paper focuses on the crucial aspect of security proof within SSSD protocols based on SMC, aiming to provide a scientifically rigorous understanding of the formal verification process and the robust guarantees they offer. Through a comprehensive examination of the fundamental principles underpinning SMC and the specific design considerations unique to SSSD protocols, this paper meticulously explores the key components and intricate steps involved in constructing a rigorous security proof. Furthermore, it discusses the adversarial model, precise security definitions, cryptographic assumptions utilized within the proof, and sophisticated techniques and reductions to establish its validity. By means of a meticulous analysis of the security proof for SSSD protocols, this paper critically evaluates both the strengths and limitations of the proposed approach, offering valuable insights to inform future research and development within this significant domain of study.