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Analysis of individual security aspects of a cipher or algorithm, not the security of a cipher or algorithm in general (which would lean towards “algorithm-design”).

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Why are recomended RSA key lengths so high?

With number field sieve and quadratic field sieve, it is easy now to break RSA keys less than 1024 bit and more so the concepts of quantum cryptography will break all myths of unbreakable security. So …
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