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Mar 5, 2021 at 22:43 comment added Daniel S For 512-bit $P$ we can quote actual performance figures. The Logjam attack (en.wikipedia.org/wiki/Logjam_(computer_security)) was able to use the number field sieve to break such a system with a few thousand core weeks. 256-bit $P$ would be even more insecure.
Mar 5, 2021 at 22:28 comment added J. Doe Given that order at which position would be 511-bit $q$ with 512-bit $P$ or 255-bit $q$ with 256-bit $P$?
Mar 5, 2021 at 21:59 history answered Daniel S CC BY-SA 4.0