Lattice-Based Cryptosystems: A Design Perspective

This book provides insights into constructing provably secure cryptosystems from hard lattice problems, making it appealing to graduate students and young researchers.

Format: Paperback / softback
Length: 174 pages
Publication date: 16 October 2021
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of lattice-based cryptosystems, widely recognized as one of the most promising post-quantum cryptosystems. It offers invaluable insights into the construction of provably secure cryptosystems derived from challenging lattice problems. The concept of provable security plays a pivotal role in guiding the selection of lattice tools for designing various cryptographic schemes, including public-key encryption, identity-based encryption, attribute-based encryption, key change, and digital signatures. With its extensive coverage, the book particularly resonates with graduate students and young researchers eager to embark on research in this dynamic field.

Lattice-based cryptosystems are a promising post-quantum cryptographic approach that utilizes mathematical structures called lattices to enhance security. These systems are designed to withstand attacks that exploit the inherent weaknesses of traditional cryptographic algorithms, such as quantum computing. One of the key advantages of lattice-based cryptosystems is their provable security, which means that it is possible to verify the correctness and integrity of the cryptographic operations performed.

The book provides a comprehensive introduction to lattice-based cryptosystems, covering various topics such as lattice-based encryption, lattice-based signatures, and lattice-based key exchange. It begins by discussing the basic principles of lattices and their applications in cryptography. The authors then explore the construction of provably secure lattice-based cryptosystems, including the design of encryption schemes, signature schemes, and key exchange protocols.

The book emphasizes the importance of choosing the right lattice tool for designing cryptosystems. Different lattice-based cryptosystems require different lattice tools, depending on the specific requirements of the application. The authors discuss various lattice tools, including finite fields, Boolean algebra, and other mathematical structures, and their suitability for different cryptographic applications.

Furthermore, the book discusses the challenges and limitations of lattice-based cryptosystems. One of the main challenges is the computational complexity of lattice-based cryptosystems, which can be quite high. This complexity can make it difficult to implement these systems in real-world applications, especially for devices with limited computational resources. The authors explore various optimization techniques, such as lattice reduction and parallelization, to address this challenge.

Another challenge is the security of the underlying lattice structures. Lattice-based cryptosystems rely on the hardness of certain mathematical problems, such as the integer factorization problem, to ensure the security of the cryptographic operations. However, the hardness of these problems is not guaranteed, and there are ongoing efforts to find new lattice structures that are more secure.

The book also discusses the applications of lattice-based cryptosystems in various fields, such as secure communication, secure data storage, and identity verification. It highlights the advantages of lattice-based cryptosystems over traditional cryptographic systems, such as their resistance to quantum computing attacks and their ability to provide enhanced security for sensitive data.

In conclusion, this book is a valuable resource for anyone interested in lattice-based cryptosystems. It provides a comprehensive introduction to the topic, covering the theoretical foundations, construction of provably secure cryptosystems, and practical applications. The book is particularly useful for graduate students and young researchers who plan to enter this research area. With its depth of coverage and practical insights, the book will help them develop a solid understanding of lattice-based cryptography and its potential applications in the future.

Weight: 296g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811584299
Edition number: 1st ed. 2020