Handbook of elliptic and hyperelliptic curve cryptography
By: Roberto Avanzi ... [et al.].
Publisher: Chapman & Hall/CRC
Published: 2005
Place of publication: Boca Raton, FL
Language: eng
Number of pages: 808
Description: "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 arithmetic of elliptic and hyperelliptic curves and the computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves as well as transfers of discrete logarithm problems for special curves.

It ends up with concrete realizations of cryptosystems in smart cards, including efficient implementation in hardware and side-channel attacks as well as countermeasures"--Jacket.