Source code for our paper "Solving Discrete Logarithms in Smooth-Order Groups with CUDA" from SHARCS 2012. The cuda-11.5 branch will compile on CUDA 11.5 and now runs with two A100 GPUs, though is perhaps not tuned optimally.
Steven Engler
0ec3f2b5b8
Improved support for local Makefiles.
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README
cudadl-0.9
21 Mar 2012
Ryan Henry and Ian Goldberg
{rhenry,iang}@cs.uwaterloo.ca
http://crysp.uwaterloo.ca/software/
This package contains the source code to our CUDA implementation of
van Oorschot and Wiener's parallel version of the Pollard rho discrete
log algorithm. It is intended for use on 1536-bit moduli that are
RSA numbers with smooth totient; that is, the modulus N=pq, where p and q
are 768-bit primes, and the prime factors of p-1 and q-1 are all
distinct and less then B, for a parameter B. [The value 1536 is
hardcoded as "WORDS = 24" (24*32*2 = 1536) in the Makefile; it is easy
to change this value and recompile if desired.] Note that this means
the totient of N = \phi(N) = (p-1)(q-1) has all prime factors less than
B; that is, \phi(n) is "B-smooth".
Usage:
1. Build the software. You'll need:
NTL
GMP
NVIDIA CUDA Toolkit 3.1
2 M2050 (or other compute capability level 2.0) CUDA cards
[If you have more or just 1, you'll need to modify dlrho.cc,
unfortunately.]
Hopefully just typing "make" should work. It will build gen_N and
dlrho.
2. Create the modulus N as, for example, a 1536-bit RSA number whose
totient is 2^50-smooth:
./gen_N 1536 50 > N
3. Generate a DL problem mod N and solve it:
./dlrho < N
This software is described in "Solving Discrete Logarithms in
Smooth-Order Groups with CUDA", CACR technical report 2012-02,
http://www.cacr.math.uwaterloo.ca/techreports/2012/cacr2012-02.pdf
This program is covered under version 3 of the GNU General Public
Licence; see the file COPYING for more information.
Changelog:
0.9 (21 Mar 2012)
Extend the code to handle smoothness levels (B) larger than 2^60. Now
we can handle up to 2^92. We have successfully run a test with
B = 2^80.
0.8 (23 Jan 2012)
Initial public release
21 Mar 2012
Ryan Henry and Ian Goldberg
{rhenry,iang}@cs.uwaterloo.ca
http://crysp.uwaterloo.ca/software/
This package contains the source code to our CUDA implementation of
van Oorschot and Wiener's parallel version of the Pollard rho discrete
log algorithm. It is intended for use on 1536-bit moduli that are
RSA numbers with smooth totient; that is, the modulus N=pq, where p and q
are 768-bit primes, and the prime factors of p-1 and q-1 are all
distinct and less then B, for a parameter B. [The value 1536 is
hardcoded as "WORDS = 24" (24*32*2 = 1536) in the Makefile; it is easy
to change this value and recompile if desired.] Note that this means
the totient of N = \phi(N) = (p-1)(q-1) has all prime factors less than
B; that is, \phi(n) is "B-smooth".
Usage:
1. Build the software. You'll need:
NTL
GMP
NVIDIA CUDA Toolkit 3.1
2 M2050 (or other compute capability level 2.0) CUDA cards
[If you have more or just 1, you'll need to modify dlrho.cc,
unfortunately.]
Hopefully just typing "make" should work. It will build gen_N and
dlrho.
2. Create the modulus N as, for example, a 1536-bit RSA number whose
totient is 2^50-smooth:
./gen_N 1536 50 > N
3. Generate a DL problem mod N and solve it:
./dlrho < N
This software is described in "Solving Discrete Logarithms in
Smooth-Order Groups with CUDA", CACR technical report 2012-02,
http://www.cacr.math.uwaterloo.ca/techreports/2012/cacr2012-02.pdf
This program is covered under version 3 of the GNU General Public
Licence; see the file COPYING for more information.
Changelog:
0.9 (21 Mar 2012)
Extend the code to handle smoothness levels (B) larger than 2^60. Now
we can handle up to 2^92. We have successfully run a test with
B = 2^80.
0.8 (23 Jan 2012)
Initial public release