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. K bra Seyhan is affiliated with the Department of Computer Engineering at Ondokuz Mayıs University, Samsun, T rkiye, 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. K bra Seyhan is a research assistant and postdoctoral researcher.
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