Information-theoretic Cryptography

This book offers a mathematical foundation for modern cryptography. It is primarily intended as an introduction for graduate students. Readers should have basic knowledge of probability theory, but familiarity with computational complexity is not required. Starting from Shannon's classic result on secret key cryptography, fundamental topics of cryptography, such as secret key agreement, authentication, secret sharing, and secure computation, are covered. Particular attention is drawn to how correlated randomness can be used to construct cryptographic primitives. To evaluate the efficiency of such constructions, information-theoretic tools, such as smooth min/max entropies and information spectrum, are developed. The broad coverage means the book will also be useful to experts as well as students in cryptography as a reference for information-theoretic concepts and tools.

'This is a unique and extraordinary book covering everything on information-theoretic cryptography. It's a must-read book for all researchers and students interested in unconditional security.' Hirosuke Yamamoto, The University of Tokyo, 'A masterful blend of information theory and cryptography, this treatise is a treat for the researcher -- teacher and student, alike.' Prakash Narayan, University of Maryland, 'Tyagi and Watanabe provide readers with a new solid reference for unified understanding of key subjects in the cryptography as developed in seven decades since Shannon. In fact, this book provides a comprehensive and thorough presentation of information theoretically secure cryptographic primitives, also shedding due light on the relevance to computationally secure ones. It looks like those primitives have now been washed-up and reborn in the new cradle of information theory. I recommend this text as a reliable compass for both beginners and professionals working in cryptography.' Te Sun Han, National Institute of Information and Communications Technology, Japan

Himanshu Tyagi is an associate professor with the Department of Electrical Communication Engineering at the Indian Institute of Science, Bangalore. A specialist in information theory, his current research focuses on blockchains for crowdsourced networks, distributed statistics under information constraints, and privacy for federated learning data pipelines. He has served as an associate editor for the 'IEEE Transactions on Information Theory' and has been awarded the Indian National Science Academy (INSA) Young Scientist medal for 2020. Shun Watanabe is an associate professor with the Department of Computer and Information Sciences at the Tokyo University of Agriculture and Technology. His research focuses on the intersection of information theory and cryptography. He is a senior member of the Institute of Electrical and Electronics Engineers (IEEE) and served as an associate editor of the journal 'IEEE Transactions on Information Theory' from 2016 to 2020.