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In the asymptotic setting, a family of deterministic polynomial time computable functions : {,} {,} for some polynomial p, is a pseudorandom number generator (PRNG, or PRG in some references), if it stretches the length of its input (() > for any k), and if its output is computationally indistinguishable from true randomness, i.e. for any probabilistic polynomial time algorithm A, which ...
The remainder of the key is a random value generated by the user, and is never revealed to anyone, not even the KGC. All cryptographic operations by the user are performed by using a complete private key which involves both the KGC's partial key, and the user's random secret value.
The key must be truly random. The key must never be reused in whole or in part. The key must be kept completely secret by the communicating parties. It has also been mathematically proven that any cipher with the property of perfect secrecy must use keys with effectively the same requirements as OTP keys. [4]
A key generator [1] [2] [3] is a protocol or algorithm that is used in many cryptographic protocols to generate a sequence with many pseudo-random characteristics. This sequence is used as an encryption key at one end of communication, and as a decryption key at the other.
Symmetric-key algorithms use a single shared key; keeping data secret requires keeping this key secret. Public-key algorithms use a public key and a private key. The public key is made available to anyone (often by means of a digital certificate). A sender encrypts data with the receiver's public key; only the holder of the private key can ...
Yarrow keeps count of the output block, because once the key is compromised, the leak of the old output before the compromised one can be stopped immediately. Once some system security parameter P g is reached, the algorithm will generate k bits of PRNG output and use them as the new key.
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A key can directly be generated by using the output of a Random Bit Generator (RBG), a system that generates a sequence of unpredictable and unbiased bits. [10] A RBG can be used to directly produce either a symmetric key or the random output for an asymmetric key pair generation.