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 Title Fundamentals of Cryptology: A Professional Reference and Interactive Tutorial
 Author(s) Henk C.A. Tilborg
 Publisher: Kluwer Academic Publishers , Boston etc., 2000.
 Hardcover 512 pages
 eBook PDF, 2.86 MB
 Language: English
 ISBN10: 0792386752
 ISBN13: 9780792386759
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Book Description
This is a thoroughly written wonderful book on cryptography! This excellent book is warmly recommended for mathematicians, computer scientists, for professors and students, and, as a reference book, for researchers in the area of cryptography.
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 to these threats. In addition, new issues have surfaced that did not exist previously, e.g. adding a signature to an electronic document. Cryptology addresses the above issues  it is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical in nature. Fundamentals of Cryptology serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas.
First, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver must share a secret key. Second, the book presents public key cryptosystems, which make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, such as the factorization of large numbers. The remaining chapters cover a variety of topics, including zeroknowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in detail: one presents elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions) and the other introduces finite fields and their algebraic structure.
Fundamentals of Cryptology is an updated and improved version of An Introduction to Cryptology, originally published in 1988. Apart from a revision of the existing material, there are many new sections, and two new chapters on elliptic curves and authentication codes, respectively. In addition, the book is accompanied by a full text electronic version on CDROM as an interactive Mathematica manuscript. Fundamentals of Cryptology will be of interest to computer scientists, mathematicians, and researchers, students, and practitioners in the area of cryptography.
About the Authors
N/A
 Cryptography, Cryptology, and Cryptanalysis
 Computational and Algorithmic Mathematics
 Combinatorics and Game Theory
 Number Theory
 Algebra, Abstract Algebra, and Linear Algebra
 Discrete and Finite Mathematics