Information-theoretic Cryptography

This graduate coursebook offers a mathematical foundation for modern cryptography for readers with basic knowledge of probability theory.

This introductory graduate coursebook offers a mathematical foundation for modern cryptography. Coverage includes secret key agreement, authentication, secret sharing, and secure computation. The book will also serve experts in the field as a reference for information-theoretic tools such as smooth min/max entropies and information spectrum.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.