Buch, Englisch, 842 Seiten, Format (B × H): 181 mm x 259 mm, Gewicht: 1816 g
Buch, Englisch, 842 Seiten, Format (B × H): 181 mm x 259 mm, Gewicht: 1816 g
Reihe: Discrete Mathematics and Its Applications
ISBN: 978-1-58488-518-4
Verlag: Taylor & Francis Inc
The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. For some special curves the discrete logarithm problem can be transferred to an easier one; the consequences are explained and suggestions for good choices are given. The authors present applications to protocols for discrete-logarithm-based systems (including bilinear structures) and explain the use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient implementations in smart cards. Practical and theoretical aspects of side-channel attacks and countermeasures and a chapter devoted to (pseudo-)random number generation round off the exposition.
The broad coverage of all- important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.
Zielgruppe
Professional
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Mathematical Background. Elementary Arithmetic. Arithmetic of Curves. Point Counting. Computation of Discrete Logarithms. Applications. Realizations of DL Systems. References.