Quantum Secure Password-Authenticated Key Exchange

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 Mayis 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.