We are about to release the first executable of our project for feedback. There will be a Windows 64 bit cygwin version and a 64 bit Linux version. The program is written in C using the standard OpenSSL library BIGNUM and EC_POINT objects. The main thing we are interested in for this release of the program is the number of hops per second on various machines. It seems to us the OpenSSL library is pretty slow. Here is what three runs of the program, for a 35 bit key, looks like on my Windows laptop:
C:\ROO\Debug>roo
ver = 121 with 128 bit integers
test = 34
seed = 1566657361 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0x9D8358B56E7B4401A459C0D828A75681
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 9.0817 mins (544899402700 nsecs)
hps = 1968.057310
C:\ROO\Debug>roo
ver = 121 with 128 bit integers
test = 34
seed = 1566658074 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0xC7B9A08889DCE535759804A45AE046BC
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 9.0295 mins (541767121800 nsecs)
hps = 1986.290418
C:\ROO\Debug>roo
ver = 121 with 128 bit integers
test = 34
seed = 1566658634 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0xDF1DD25825020380D574A71285072428
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 9.0542 mins (543253475900 nsecs)
hps = 1981.294420
C:\ROO\Debug>
And here are three runs on my Linux machine. Maybe I just need to buy a much faster computer.
burt@burt-MS-7640:~/ROO1/Debug$ ./ROO.exe
ver = 121 with 128 bit integers
test = 34
seed = 1566661363 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0xE6A6C5C436EBA130AD726DC36B710275
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 15.0364 mins (902182961776 nsecs)
hps = 1225.428980
burt@burt-MS-7640:~/ROO1/Debug$ ./ROO.exe
ver = 121 with 128 bit integers
test = 34
seed = 1566663911 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0x1970EBB70E07E6F19E9D0390432AD93C
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 14.6529 mins (879173107944 nsecs)
hps = 1219.290980
burt@burt-MS-7640:~/ROO1/Debug$ ./ROO.exe
ver = 121 with 128 bit integers
test = 34
seed = 1566665966 (randomly selected)
bits = 35
a = 0x400000000
b = 0x7FFFFFFFF
P = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
ba = 0x3FFFFFFFF
k0000 = 0x504A020DE4246A5FF39CD676B27DD5A3
s = 0x4AED21170
% = 17.0723
s*G = 0x2F6A8148A62320E149CB15C544FE8A25AB483A0095D2280D03B8A00A7FEADA13D
time = 14.7170 mins (883021823424 nsecs)
hps = 1217.660480
burt@burt-MS-7640:~/ROO1/Debug$