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  • Why hash the message before signing it with RSA?
    The diagram below illustrates the process of digitally signing a message with RSA: As diagram shows, the message is first hashed, and the signature is then computed on the hash, rather than on the full message
  • Security strength of RSA in relation with the modulus size
    As for the reasoning behind the larger key sizes for RSA, the explanation's not too difficult If you look at the document in the question, you will notice that the "bits of security" for block ciphers correlate almost perfectly with the size (in bits) of the keys for that block cipher (with rare exceptions)
  • How are primes generated for RSA? - Cryptography Stack Exchange
    The security aspect is based on the fact that it's difficult to factor it back into p and q Now, since RSA keys are so large (often 1024 bits and above), the primes have to be at least half that (at least 512 bits then)
  • Why does RSA need p and q to be prime numbers?
    By the way, it's not clear if your question is about the correctness of RSA or the security of RSA (i e does RSA need to have a modulus with two prime factors to be correct vs does RSA need to have a modulus with two prime factors to be secure)
  • What makes RSA secure by using prime numbers?
    RSA is usually based on exactly two prime numbers If you have three prime numbers (or more), n = pqr, you'll basically have multi-prime RSA (try googling for it) However, if you just use random numbers (p and q are random numbers, thus commonly composites of many numbers), it'll likely not give good results
  • Proof of security for RSA signatures - Cryptography Stack Exchange
    The proof of security for a signature scheme is to show that given an adversary that breaks the scheme with non negligible probability, you can construct a solver for the underlying security problem of the system
  • rsa - What is here the security parameter $1^\kappa$? - Cryptography . . .
    Independently: I know no mathematically justified reason why enforcing a minimum $|p-q|$ in RSA key generation would improve security comparing to not doing so
  • FIPS 140-2 compliance and RSA encryption
    I remember reading that the RSA algorithm was only permitted for encryption when used to encrypt a symmetric key (essentially leading to hybrid encryption) However, reading through Annex A: Approved Security Functions for FIPS PUB 140-2 this doesn't seem to be an option
  • Is ECB mode safe to use with RSA encryption? [duplicate]
    The above assumes that you are using a known-good RSA padding method, such as OAEP If you aren't, and are instead using 'textbook RSA' (which is just to take the message, interpret it as a large integer, and send that to the RSA primitive), then there are a number of security problems you can run into, in addition to determinism
  • Why is elliptic curve cryptography not widely used, compared to RSA?
    The only scientifically established advantaged of RSA over elliptic curves cryptography is that public key operations (e g signature verification, as opposed to signature generation) are faster with RSA





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