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Michael Brown be9ce49076 [crypto] Add support for Weierstrass elliptic curve point multiplication
The NIST elliptic curves are Weierstrass curves and have the form

  y^2 = x^3 + ax + b

with each curve defined by its field prime, the constants "a" and "b",
and a generator base point.

Implement a constant-time algorithm for point addition, based upon
Algorithm 1 from "Complete addition formulas for prime order elliptic
curves" (Joost Renes, Craig Costello, and Lejla Batina), and use this
as a Montgomery ladder commutative operation to perform constant-time
point multiplication.

The code for point addition is implemented using a custom bytecode
interpreter with 16-bit instructions, since this results in
substantially smaller code than compiling the somewhat lengthy
sequence of arithmetic operations directly.  Values are calculated
modulo small multiples of the field prime in order to allow for the
use of relaxed Montgomery reduction.

Signed-off-by: Michael Brown <mcb30@ipxe.org>
2025-01-28 16:32:12 +00:00
.github/workflows [ci] Update action versions to silence GitHub warnings 2024-03-07 23:25:35 +00:00
contrib [cloud] Add ability to delete old AMI images 2024-09-09 15:02:27 +01:00
src [crypto] Add support for Weierstrass elliptic curve point multiplication 2025-01-28 16:32:12 +00:00
COPYING [legal] Update GPLv2 licence text 2015-02-26 17:59:53 +00:00
COPYING.GPLv2 [legal] Update GPLv2 licence text 2015-02-26 17:59:53 +00:00
COPYING.UBDL [legal] Add support for the Unmodified Binary Distribution Licence 2015-03-02 12:07:14 +00:00
README [doc] Re-add README file 2010-05-28 00:03:47 +01:00

README

iPXE README File

Quick start guide:

   cd src
   make

For any more detailed instructions, see http://ipxe.org