Complexity theory and cryptology
Subtitle: an introduction to cryptocomplexity
By: Jörg Rothe.
Series: Texts in theoretical computer science : an EATCS series; Texts in theoretical computer science
Publisher: Springer
Published: 2005
Place of publication: Berlin; New York
Language: eng
Number of pages: 478
ISBN-13: 9783540221470
Subjects: Computer security.; Cryptography.; Computational complexity.; Complexiteit.; Geheimschrift.; Fundamentele informatica.; Protection de l'information (Informatique); Cryptographie.; Complexité de calcul (Informatique)
Description: Modern cryptology employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research in complexity theory often is motivated by questions and problems arising in cryptology. This book takes account of this trend, and therefore its subject is what may be dubbed "cryptocomplexity,'' some sort of symbiosis of these two areas. This textbook is suitable for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Starting from scratch, it is an accessible introduction to cryptocomplexity and works its way to the frontiers of current research. It provides the necessary mathematical background, has numerous figures, exercises, and examples, and presents some central, up-to-date research topics and challenges. Due to its comprehensive bibliography and subject index, it is also a valuable source for researchers, teachers, and practitioners working in these fields.
Notes: Includes bibliographical references (p. [417]-443) and index.
Table of contents: title: Introduction to cryptocomplexity; title: Foundations of computer science and mathematics; title: Foundations of complexity theory; title: Foundations of cryptology; title: Hierarchies based on NP; title: Randomized algorithms and complexity classes; title: RSA cryptosystem, primality, and factoring; title: Other public-key cryptosystems and protocols.