eccons: elliptic curve construction
This program is a toolkit for constructing a few different kinds of elliptic curves.
For technical details, see the comment at the top of eccons.cc
.
building, etc.
To build eccons, just type make
.
You should be able to build eccons with any reasonably modern C++ compiler (specifically, one that supports C++17). I have tested on several recent versions of clang and gcc.
You will need the GMP and GMPXX libraries and headers installed in a place your
compiler can find them. On Archlinux, install the gmp
package; on recent
Debian-alikes (including Ubuntu), install libgmp10
and libgmp-dev
packages.
Finally, you will need a reasonably recent version of Sage to generate elliptic curve parameters. I have tested with versions 8.x and 9.x.
usage
The eccons
executable produces output that can be written to the filesystem
or piped into the eccons.sage
script.
eccons --help
gives usage info.
As an example, if we want to generate a complete Edwards curve having a subgroup of order 2^251 - 9, we might say:
./eccons -4 -E 2^251-9 | sage eccons.sage
This should print out the parameters for two such elliptic curves.
license
Copyright 2020 Riad S. Wahby
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.