Group Theoretic Cryptography (Chapman & Hall/CRC Cryptography and Network Security Series)

Group theoretic problems appear to be the most promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using nonabelian groups in the field of cryptography. It provides an introduction to cryptography (mostly asymmetric) with a focus on group theoretic constructions, making it the first book to use this approach. The authors include all of the needed cryptographic and group theoretic concepts. They supply exercises at the end of each chapter, selected solutions in the back of the book, and suggestions for student projects that require the use of the computer or computer algebra systems. Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter. Supplies An Introduction To Cryptography For Those Interested In Group Theory -- Offers Formal Security Analyses And Highlights Potential Vulnerabilities For Cryptographic Constructions Involving Group Theory -- Provides Full Proofs Of Important Theorems -- Emphasizes Algorithmic Aspects -- Includes Problems And Selected Solutions-- 1. Preliminaries -- 2. Public-key Encryption -- 3. Secret-key Encryption -- 4. Other Cryptographic Constructions. María Isabel González Vasco, Rainer Steinwandt. Includes Bibliographical References And Index. "Supplies an introduction to cryptography for those interested in group theory -- Offers formal security analyses and highlights potential vulnerabilities for cryptographic constructions involving group theory -- Provides full proofs of important theorems -- Emphasizes algorithmic aspects -- Includes problems and selected solutions"-- Provided by publisher Group theoretic problems appear to be the most promising source of hard computational problems for deploying cryptographic constructions. This title focuses on the specifics of using nonabelian groups in the field of cryptography. It provides an introduction to cryptography with emphasis on group theoretic constructions.