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by pja
4670 days ago
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"Your 4096-bit RSA key is still 2^3072 times harder to break," No, because the difficulty of breaking RSA keys doesn't scale in the same way as symmetric encryption. Integer factorisation is much easier than a brute force search of the keyspace. A 1024-bit RSA key is believed to be roughly equivalent to an 80-bit symmetric key. A 3072 bit key is about as hard to brute force as an 128-bit symmetric key. (Source: http://www.keylength.com/en/4/ ) |
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In any case, you can choose a public key exponent large enough to still make it a hard problem to crack in a reasonable amount of time. Barring some huge vulnerability in RSA that hasn't been discovered in 30 years of public scrutiny, of course.