As quantum computers reshape traditional cryptographic security solutions, quantum-secure authentication and key exchange are becoming increasingly critical. This book provides a comprehensive introduction to pre- and post-quantum password-authenticated key exchange (PAKE), focusing on lattice-based structures and their security foundations for real-world applications.

The work covers the conceptual and theoretical foundations and extensively discusses literature, standardization processes, and real-world scenarios. Focusing on post-quantum cryptography, the book classifies and analyzes various lattice-based protocols and discusses security models and practical considerations. Furthermore, it highlights the current challenges and future research directions in the design of post-quantum secure PAKEs.

Topics and features:

●       Offers an in-depth look at the security of today and the future, from the theoretical design of PAKE protocols to real-world applications

●       Covers the theoretical and practical aspects of PAKE for both traditional and post-quantum security

●       Provides a systematic comparison of leading lattice-based PAKE protocols, highlighting design choices, security guarantees, and performance trade-offs

●       Explains the cryptographic primitives, ideas, components, and security features used in the lattice-based PAKE design—with understandable mathematical approaches

●       Summarizes recent developments, real-world applications, open research problems, and emerging directions in the field of post-quantum secure PAKE

This book is primarily intended for graduate students, researchers, and academics in cryptography, cybersecurity, applied mathematics, and computer science. It will also be a valuable resource for security engineers, industry practitioners, and professionals.

Kübra Seyhan is affiliated with the Department of Computer Engineering at Ondokuz Mayıs University, Samsun, Türkiye, and the Institute of Computer Science, University of Tartu, Tartu, Estonia. Professor Sedat Akleylek is affiliated with the Institute of Computer Science, University of Tartu, Tartu, Estonia.  Kübra Seyhan is a research assistant and postdoctoral researcher. 

Sedat Akleylek, Ph. D. : Sedat Akleylek received the B.Sc. degree in Mathematics, majored in computer science from Ege University, Izmir, Türkiye, in 2004, and the M.Sc. and Ph.D. degrees in cryptography from Middle East Technical University, Ankara, Türkiye, in 2008 and 2010, respectively. He was a Postdoctoral Researcher with the Cryptography and Computer Algebra Group, TU Darmstadt, Germany, from 2014 to 2015. He was a Professor with the Department of Computer Engineering, Ondokuz Mayıs University, Samsun, Türkiye, until 2022. He has been with the Department of Computer Engineering, Istinye University, Istanbul, Türkiye. He has been with the Chair of Security and Theoretical Computer Science, Institute of Computer Science, University of Tartu, Tartu, Estonia, since 2022. His research interests include post-quantum cryptography, algorithms and complexity, architectures for computations in finite fields, applied cryptography for cybersecurity, malware analysis, IoT security, and avionics cybersecurity. He is a member of the Editorial Board of IEEE Access, Turkish Journal of Electrical Engineering and Computer Sciences, PeerJ Computer Science, and International Journal of Information Security Science. He is co-chair of the IEEE Blockchain Türkiye Chair. He has published more than 150 research papers in international journals, conference proceedings, and book chapters, and has solved several real-world security and data analytics problems for the industry.

● Kübra Seyhan, Ph. D.: Kübra Seyhan received the B.Sc. degree in Computer Engineering from Karadeniz Technical University, in 2016, Trabzon, Turkey, M.Sc. degree in Computer Engineering from Ondokuz Mayıs University in 2020, and Ph.D. degree in Computational Sciences from Ondokuz Mayıs University in 2024, in Samsun, Turkey. She has been with the Department of Computer Engineering, Ondokuz Mayis University, Samsun, Turkey, since 2018 as a research assistant. She worked as a short-term research assistant at the Chair of Security and Theoretical Computer Science, Institute of Computer Science, University of Tartu, Tartu, Estonia, between March 1, 2023, and August 31, 2023. She has been with the Chair of Security and Theoretical Computer Science, Institute of Computer Science, University of Tartu, Tartu, Estonia, since March 2026 as a postdoctoral researcher. She is a member of the Editorial Board of PeerJ Computer Science and the International Journal of Information Security Science. She is the head of women in the IEEE Blockchain Türkiye Chair. Her research interests include cryptography, post-quantum cryptography, algorithms, cybersecurity, and IoT security. She has published numerous research articles in international journals, conference proceedings, and book chapters.