Re: 16-bit ECC on prime fields

From: Pubkeybreaker (Robert_silverman_at_raytheon.com)
Date: 05/31/05 

Date: 31 May 2005 05:10:54 -0700

An excellent introduction to the theory is:

Neal Koblitz: Introduction to Elliptic Curves and Modular Forms.

I am also not sure that I understand what you want. On one hand, you
ask
about the theory. On the other, you ask for an RFC style explanation.
The
latter will not give the former. Which is it that you want: the
theory or a cookbook?

You might also want to look up IEEE 1363.

Relevant Pages

  • Cum Hoc, Ergo Propter Hoc
    ... But it's not just a sci.math thing, and mathematicians rather ... Basically there are 4 numbers that you can use to describe a modular ... It's a perfect setup for a logical error, ... modular forms and elliptic curves belong to, but you see, that's not ...
    (sci.math)
  • Re: JSH: Scary, eh?
    ... had to match elliptic curves to modular forms. ... show there is a one-to-one correspondence. ... there is a known way to start with a modular form and end up ... he wanted to show that there exists a modular form M ...
    (sci.math)
  • Re: JSH: Scary, eh?
    ... had to match elliptic curves to modular forms. ... show there is a one-to-one correspondence. ... there is a known way to start with a modular form and end up ... he wanted to show that there exists a modular form M ...
    (sci.math)
  • Re: Cum Hoc, Ergo Propter Hoc
    ... >Basically there are 4 numbers that you can use to describe a modular ... >form and mathematicians found THE SAME 4 numbers could be used to ... >which is a logical error called Cum Hoc, ... >modular forms and elliptic curves belong to, but you see, that's not ...
    (sci.math)
  • Re: Cum Hoc, Ergo Propter Hoc
    ... > between Elliptic curves and modular forms. ... > Where in Wiles's proof does his characterization of elliptic curves by ... Mathematicians WANT to believe something about elliptic curves. ... instead find a REASON for an association. ...
    (sci.math)