Re: ECC book/ online ref?

From: Mads Rasmussen (mads_at_opencs.com.br)
Date: 02/16/04 

Date: Mon, 16 Feb 2004 14:35:12 -0300

Peter Fairbrother wrote:

> What I'm really looking for is an easy textbook for one of my "pupils" (and
> probably for me too, I've had "Rational points on EC's" for a year or three
> and still haven't gotten around to reading it). He knows crypto, but not
> ECC.
>
> Something that goes into the why's and wherefore's. What curve should you
> use, how do you generate it, what's the order of O, what are the ways to
> break ECC/solve ECDLP and so on. How ECC differs from ordinary crypto.

Well you should have a look at this:
"Implementing Elliptic Curve Cryptography", Michael Rosing, Manning
Publications Company, January, 1999
ISBN 1884777694

It's full of errors but gives a nice introduction to the subject of
implementing stuff.

More recently a book came along by the grandfathers of eliptic curve
cryptography:
"Guide to Elliptic Curve Cryptography"
Darrel Hankerson, Alfred J. Menezes, Scott Vanstone
Springer Verlag
08 January, 2004
ISBN: 038795273X
($59.95 on amazon)

Table of contents:

* Introduction and overview
* Finite field arithmetic
* Elliptic curve arithmetic
* Cryptographic protocols
* Implementation issues
* Parameter generation
* Appendixes: Sample parameters; ECC standards; Software tools
* Index

Relevant Pages

  • Can you use ECC to produce digital signatures? It doesnt see so.
    ... it doesn't appear to me that you can use ECC ... cryptography for digital signatures even though it is a form of Public ... Key Cryptography. ... public key where you simply use your own private key as the encryption ...
    (sci.crypt)
  • Re: Short Signature required
    ... ECC is not supported by Windows or CryptoAPI at this time. ... > I was wanting to utilize assymetric cryptography to generate and verify ... > there is mention of ECDSA in the form of a CSP type definition: ...
    (microsoft.public.platformsdk.security)
  • Re: My little something...
    ... since ECC is kinda new field. ... You mean you offer two ciphers in different modes or that you chain ... If Whirlpool is a secure hash than truncation MUST BE just as secure as ...
    (sci.crypt)
  • Re: Advice about testing ECC
    ... giovanniparodi79@yahoo.it a écrit: ... I developed an embedde system that supports ecc ... > cryptography. ...
    (sci.crypt)
  • Re: weil pairing
    ... Advances in Elliptic Curve Cryptography edited by I. Blake, G. Seroussi ... Number Theory and Cryptography by Lawrence C. ...
    (sci.crypt)