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  2. Elliptic-curve cryptography - Wikipedia

    en.wikipedia.org/wiki/Elliptic-curve_cryptography

    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 .

  3. Elliptic Curve Digital Signature Algorithm - Wikipedia

    en.wikipedia.org/wiki/Elliptic_Curve_Digital...

    As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. [1] For example, at a security level of 80 bits—meaning an attacker requires a maximum of about 2 80 {\displaystyle 2^{80}} operations to find the private key—the size of an ...

  4. EdDSA - Wikipedia

    en.wikipedia.org/wiki/EdDSA

    In public-key cryptography, Edwards-curve Digital Signature Algorithm (EdDSA) is a digital signature scheme using a variant of Schnorr signature based on twisted Edwards curves. [1] It is designed to be faster than existing digital signature schemes without sacrificing security.

  5. ECC patents - Wikipedia

    en.wikipedia.org/wiki/ECC_patents

    For example, the OpenSSL team accepted an ECC patch only in 2005 (in OpenSSL version 0.9.8), despite the fact that it was submitted in 2002. According to Bruce Schneier as of May 31, 2007, "Certicom certainly can claim ownership of ECC. The algorithm was developed and patented by the company's founders, and the patents are well written and strong.

  6. Key generation - Wikipedia

    en.wikipedia.org/wiki/Key_generation

    A wireless channel is characterized by its two end users. By transmitting pilot signals, these two users can estimate the channel between them and use the channel information to generate a key which is secret only to them. [1] The common secret key for a group of users can be generated based on the channel of each pair of users. [2]

  7. Curve25519 - Wikipedia

    en.wikipedia.org/wiki/Curve25519

    In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed for use with the Elliptic-curve Diffie–Hellman (ECDH) key agreement scheme. It is one of the fastest curves in ECC, and is not covered by any known patents. [1]

  8. Public-key cryptography - Wikipedia

    en.wikipedia.org/wiki/Public-key_cryptography

    Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. [1] [2] Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions.

  9. Comparison of cryptography libraries - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_cryptography...

    3.2 Elliptic-curve cryptography (ECC) ... 4.1.5 (December 17, ... The OpenSSL Project: C: Yes: Apache 2.0: 3.4.1 ...