Overview the book has a strong focus on efficient methods for finite field arithmetic. Hyperelliptic curve cryptography, henri cohen, christophe. The above description is the textbook version of the ntru primitive and. The handbook of elliptic and hyperelliptic curve cryptography introduces the theory and algorithms involved in curve based cryptography. Explicitformulas database handbook of elliptic and hyperelliptic curve cryptography tanja langes homepage workshops. The stateofthe art in hyperelliptic curve cryptography. Hyperelliptic curve cryptography, henri cohen, christophe doche, and gerhard frey, editors, crc press 2006.
The discrete logarithm disadvantage based mostly totally on elliptic and hyperelliptic curves has gained a lot of status as a cryptographic primitive. Part of the lecture notes in computer science book series lncs, volume 2779. Most of the material is basic and it can be found in most of the classic books on the subject. The stateofthe art in hyperelliptic curve cryptography craig costello workshop on curves and applications calgary, canada august 19, 20 the stateofthe art in hyperelliptic curve cryptography. Handbook of elliptic and hyperelliptic curve cryptography. Hyperelliptic curves and cryptography mathematics university of. Permission is granted to retrieve a copy of this chapter for personal use. Handbook of elliptic and hyperelliptic curve cryptography iacr. We discuss the computation of coefficients of the lseries associated to a hyperelliptic curve over q of genus at most 3, using point counting, generic group. This handbook provides a complete reference on elliptic and hyperelliptic curve cryptography. This permission does not extend to binding multiple chap. The broad coverage of all important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an. Elliptic curve cryptography ecc is a newer approach, with a novelty of low key size for the.
Forms, and cryptography, hindustan book agency, new delhi, 2003. Guide to elliptic curve cryptography darrel hankerson, alfred j. Enhanced level of security using dna computing technique. An introduction to elliptic and hyperelliptic curve cryptography and.
Hence elliptic curves in cryptography usage are based on the hardness of. Handbook of elliptic and hyperelliptic curve cryptography c 2006 by crc press, llc 737. For a complete table of contents see the section sample chapter. Review of handbook of elliptic and hyperelliptic curve. 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.
Hyperelliptic curve cryptography hecc is a publickey cryptographic technique which is required for securetransmission. This book could have been titled mathematics and mathematical algorithms for elliptic and. After a very detailed exposition of the mathematical background, it provides readytoimplement algorithms for the group operations and computation of pairings. Handbook of elliptic and hyperelliptic curve cryptography discrete mathematics and its applications pdf. We refer to stichtenoths book 79 for a discussion on. Addressing every aspect of the field, the book contains all of the background necessary to understand the theory and security of cryptosystems as well as the algorithms that can be used to implement them.