A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes.This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes.A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.

This book introduces the fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. It covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes.

Prehistory of Cryptography.- Conventional Cryptography.- Dedicated Conventional Cryptographic Primitives.- ?Conventional Security Analysis.- Security Protocols with Conventional Cryptography.- Algorithmic Algebra.- Algorithmic Number Theory.- ?Elements of Complexity Theory.- Public-Key Cryptography.- Digital Signature.- ?Cryptographic Protocols.- From Cryptography to Communication Security.