Lattice-Based Algorithms for Post-Quantum Cryptography

An in-depth introduction to lattice-based cryptography that traces how research advances led to NIST standards NIST (National Institute of Standards and Technology) anticipates that beyond 2035, current encryption and signature schemes will be vulnerable to quantum attacks and recommends immediate transition to quantum-resistant algorithms.Lattice-Based Algorithms for Post-Quantum Cryptography traces the research path from computationally hard lattice problems to practical algorithms now standardized by NIST, presenting the mathematical principles and algorithm families that define this field.Detailed treatments of NIST standards-including Dilithium, Kyber, and Falcon-accompany thorough analysis of Learning With Errors, Short Integer Solution, and their variants: Ring-LWE, Ring-SIS, Module-LWE, Module-SIS, LWR, and Order-LWE.The book presents key cryptographic schemes built on these problems alongside lattice structures, properties, and the seminal algorithms that established lattice-b