Recent Advances in Post-Quantum Cryptography

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 31 August 2025 | Viewed by 268

Special Issue Editors


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Guest Editor
The School of Computer Science, China University of Geosciences, Wuhan, China
Interests: post-quantum cryptography; authentication; lattice-based cryptography; public key cryptography

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Guest Editor
School of Mathematics and Physics, Xi’an Jiaotong-Liverpool University, Suzhou, China
Interests: post-quantum cryptography

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Guest Editor
Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Interests: post-quantum cryptography; lattice-based cryptography

Special Issue Information

Dear Colleagues,

In response to the rapid development of quantum computing, post-quantum cryptography (PQC) has made significant strides, aiming to develop algorithms that are both secure against quantum adversaries and efficient for practical use. The 2024 NIST announcement of the Kyber (KEM), Dilithium, and SPHINCS+ (digital signatures) standards marks a critical milestone in PQC. Complementing these standards, frameworks like NIST’s SP 800-227 are being developed to guide the secure implementation and use of these algorithms, further bridging the gap between theory and real-world application. This Special Issue invites contributions focused on recent advances in PQC. Topics of interest include, but are not limited to, the following:

  • Designs and implementation in migration to PQC;
  • Security analysis and attack mitigation strategies;
  •  Efficient implementations and performance optimization;
  • Integration of PQC into existing protocols and systems;
  • Side-channel attacks and countermeasures in PQC;
  • Quantum-resistant blockchain and IoT technologies;
  • Practical challenges in transitioning to post-quantum standards.

We welcome original research articles and comprehensive reviews that explore these cutting-edge developments, fostering collaboration and innovation in this critical field. Join us in shaping the future of secure cryptographic systems for the quantum age.

Dr. Chi Cheng
Prof. Dr. Jintai Ding
Dr. Yanbin Pan
Guest Editors

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Keywords

  • post-quantum cryptography
  • quantum-resilient algorithms
  • NIST standards
  • cryptographic implementation
  • security and attack mitigation

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Published Papers (1 paper)

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Research

24 pages, 557 KiB  
Article
Efficient Post-Quantum Cross-Silo Federated Learning Based on Key Homomorphic Pseudo-Random Function
by Xiaoyuan Qin and Rui Xu
Mathematics 2025, 13(9), 1404; https://doi.org/10.3390/math13091404 - 25 Apr 2025
Viewed by 83
Abstract
Federated Learning (FL) enables collaborative model training across distributed users, while preserving data privacy by only sharing model updates. However, secure aggregation, which is essential to prevent data leakage during this process, often incurs significant communication and computational costs. Moreover, existing schemes rarely [...] Read more.
Federated Learning (FL) enables collaborative model training across distributed users, while preserving data privacy by only sharing model updates. However, secure aggregation, which is essential to prevent data leakage during this process, often incurs significant communication and computational costs. Moreover, existing schemes rarely consider whether they can resist quantum attacks. To address these challenges, we propose an efficient, post-quantum aggregation protocol based on a Key Homomorphic Pseudo-Random Function (KHPRF). Our non-interactive mask elimination mechanism reduces aggregation to a single round, significantly minimizing the communication overhead. Furthermore, the KHPRF keys are reusable, enabling multiple aggregations with a one-time initialization, thereby enhancing efficiency in cross-silo federated learning. Compared to existing schemes, our approach achieves quantum-resistant aggregation with improved efficiency. Full article
(This article belongs to the Special Issue Recent Advances in Post-Quantum Cryptography)
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