Noun
elliptic curve (plural elliptic curves)
(algebraic geometry) The algebraic set of an equation which equates the square of one variable to a reduced cubic polynomial in another variable, over some field, and such that the discriminant of the reduced cubic is non-zero.
NIST’s post-quantum standard is necessary because it has been shown that quantum computers can easily factorise large numbers and it is now a matter of time before today’s public-key cryptography standards (RSA and Elliptic Curve) are broken. Source: Internet
It uses elliptic curve isogenies to create a drop-in replacement for the quantum attackable Diffie–Hellman and Elliptic curve Diffie–Hellman key exchanges. Source: Internet
Elliptic curve cryptography that use short keys, for example 192 bit ECDSA, will be at risk earlier than older schemes using longer keys (3072 bit RSA). Source: Internet
Microsoft’s advisory, the spoofing vulnerability exists in the way Windows CryptoAPI (Microsoft’s API that enables developers to secure Windows-based applications using cryptography) validates Elliptic Curve Cryptography (ECC) certificates. Source: Internet
Elliptic curve cryptography may allow smaller-size keys for equivalent security, but these algorithms have only been known for a relatively short time and current estimates of the difficulty of searching for their keys may not survive. Source: Internet
Section 7.4: Elliptic curve method, pp. 301–313. Source: Internet