Opened 7 years ago
Last modified 7 years ago
#12022 new Feature Requests
CRT optimised powm()
Reported by: | Domagoj Šarić | Owned by: | John Maddock |
---|---|---|---|
Milestone: | To Be Determined | Component: | multiprecision |
Version: | Boost 1.61.0 | Severity: | Optimization |
Keywords: | Cc: |
Description (last modified by )
multiprecision::powm() with unchecked uints is _much_ slower (i.e. I actually perceive the time it takes for the function to return on an 4GHz i5 in release builds) than say the equivalent libtomcrypt/math operation. I'm guessing the major reason for this is the CRT[1] optimisation (or lack thereof in multiprecision). So, can you implement a CRT 'enabled' powm overload (I presume this would also require a function for factoring a large multiprecision uint into to dp, dq, etc. factors)?
[1] https://en.wikipedia.org/wiki/RSA_(cryptosystem)#Using_the_Chinese_remainder_algorithm http://crypto.stackexchange.com/questions/2575/chinese-remainder-theorem-and-rsa