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. Handbook of elliptic and hyperelliptic curve cryptography scientific editors henri cohen gerard frey authors roberto m avanzi et al p cm discrete mathematics and its applications includes bibliographical references and index isbn 1 58488 518 1 alk paper 1curves elliptic handbooks manuals etc 2. This handbook of elliptic and hyperelliptic curve cryptography definitely falls within the latter definition it has more than 800 pages and weighs in at almost four pounds it clearly aims for fairly complete coverage of the basics of public key cryptography using elliptic and hyperelliptic curves the structure of the book is interesting. While the title refers to elliptic curves the handbook covers many further aspects alternative titles might be mathematics of discrete logarithm systems and applications or treatise on public key cryptography and its mathematical background. The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive the main reason is that no subexponential algorithm for
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