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Parameter; CURVE: the elliptic curve field and equation used G: elliptic curve base point, a point on the curve that generates a subgroup of large prime order n: n: integer order of G, means that =, where is the identity element.
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.ECC allows smaller keys to provide equivalent security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal cryptosystem.
Stream ciphers are defined as using plain text digits that are combined with a pseudorandom cipher digit stream. Stream ciphers are typically faster than block ciphers and may have lower hardware complexity, but may be more susceptible to attacks.
In the signature schemes DSA and ECDSA, this nonce is traditionally generated randomly for each signature—and if the random number generator is ever broken and predictable when making a signature, the signature can leak the private key, as happened with the Sony PlayStation 3 firmware update signing key.
DL/ECSSA (Discrete Logarithm/Elliptic Curve Signature Scheme with Appendix): Includes four main variants: DSA, ECDSA, Nyberg-Rueppel, and Elliptic Curve Nyberg-Rueppel. IFSSA (Integer Factorization Signature Scheme with Appendix): Includes two variants of RSA , Rabin-Williams, and ESIGN, with several message encoding methods.
IPsec Virtual Private Network and more; IEEE P1363 covers most aspects of public-key cryptography; Transport Layer Security (formerly SSL); SSH secure Telnet and more; Content Scrambling System (CSS, the DVD encryption standard, broken by DeCSS)
There are several TLS implementations which are free software and open source. All comparison categories use the stable version of each implementation listed in the overview section. The comparison is limited to features that directly relate to the TLS protocol.
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 ...