Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications)

# Read ! Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications) by Brand: Chapman and Hall/CRC ✓ eBook or Kindle ePUB. Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications) Very understandable overview of modern developments Elliptic curve cryptography is now an entrenched field and has been subjected to an enormous amount of research in the last fifteen years. As soon as encryption schemes based on arithmetic in elliptic curves were proposed, it was natural to speculate on whether these schemes could be generalized to hyperelliptic curves or even general abelian varieties.. A seminal work in its field Lurch When I first opened this book, a tear fell from my eye. N

Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications)

Author :
Rating : 4.69 (749 Votes)
Asin : 1584885181
Format Type : paperback
Number of Pages : 842 Pages
Publish Date : 2014-03-09
Language : English

DESCRIPTION:

Very understandable overview of modern developments Elliptic curve cryptography is now an entrenched field and has been subjected to an enormous amount of research in the last fifteen years. As soon as encryption schemes based on arithmetic in elliptic curves were proposed, it was natural to speculate on whether these schemes could be generalized to hyperelliptic curves or even general abelian varieties.. A seminal work in its field Lurch When I first opened this book, a tear fell from my eye. Never in my life have I seen such mathematical beauty as summarized from this book. Elliptic curves, isogenies, complex multiplication, higher order abelian varieties, finite fields, point counting, Teichmuller modulus, p-adic numbers, and applications to cryptography: it's all there, and in one am. "Very thorough, but" according to Neal J. King. don't be fooled: This is a book written by experts, for professionals. The introductory chapters "cover" the mathematical preliminaries, but if you're not already familiar with the concepts, you won't get enough help there to be able to digest the real content of the book, which is very detailed, and looks to be very complete.This is a reference book, n

It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. 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. The broad coverage of all- important areas makes this book a complete handbook of ellipti

Steven D. The chapters are written to be relatively independent so that readers can focus on the part of interest for them. Galbraith, Mathematical Reviews, Issue 2007f. … very comprehensive coverage of this vast subject area … a useful and essential treatise for anyone involved in elliptic curve algorithms … this book offers the opportunity to grasp the ECC technology with a diversified and comprehensive perspective. Such readers will be grateful for the excellent index and extensive bibliography. … the handbook covers a wide range of topics and will be a valuable reference for researchers in curve-based cryptography. … This book will remain on my shelf for a long time and will land on my desk on many occasi

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