Fundamentals Of Cryptography
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Fundamentals of Cryptology
Author: Henk C.A. van Tilborg
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-12-31
The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.
Basic Methods of Cryptography
Author: Jan C. A. Lubbe
language: en
Publisher: Cambridge University Press
Release Date: 1998-03-12
This text covers the fundamentals of cryptography, which is concerned with methods of security in the storage and transmission of information. Computers are now found in every layer of society, and information is being communicated and processed automatically on a large scale. Examples include medical and financial files, automatic banking, video-phones, pay-tv, facsimiles, tele-shopping, and global computer networks. In all these cases there is a growing need for the protection of information to safeguard economic interests, to prevent fraud and to ensure privacy. In this book, the fundamentals of secure storage and transportation of information are described. Among other things, attention is given to symmetric (DES) and asymmetric (RSA) cryptographic algorithms, which are suitable for data security, to methods for authentication, data integrity and digital signatures, key management and to network aspects. The book will be of value to advanced students and researchers involved in data protection and information processing, including electrical engineers, mathematicians, business managers, system designers, application programmers, information analysts and security officers.
An Introduction to Mathematical Cryptography
Author: Jeffrey Hoffstein
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-12-15
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.