Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC...

In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve...

mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over...

cipher. It is a variant of the Diffie–Hellman protocol using elliptic-curve cryptography. The following example illustrates how a shared key is established...

over finite fields is widely used in elliptic curve cryptography. Applications of Edwards curves to cryptography were developed by Daniel J. Bernstein...

operation) – symmetric encryption Elliptic Curve Digital Signature Algorithm (ECDSA) – digital signatures Elliptic Curve Diffie–Hellman (ECDH) – key agreement...

In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed...

Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an algorithm that was presented as a cryptographically secure pseudorandom number...

because no such algorithm is known to satisfy this property; elliptic curve cryptography comes the closest with an effective security of roughly half...

elliptic curve cryptography (ECC). The literature presents this operation as scalar multiplication, as written in Hessian form of an elliptic curve....

signature scheme. Pairing-based cryptography relies on hardness assumptions separate from e.g. the elliptic-curve cryptography, which is older and has been...

Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an abelian group...

hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography. Koblitz received his B.A. in mathematics from Harvard University...

The curve set is named after mathematician Harold M. Edwards. Elliptic curves are important in public key cryptography and twisted Edwards curves are...

of algebraic geometry, an elliptic curve E over a field K has an associated quadratic twist, that is another elliptic curve which is isomorphic to E over...

quantum-resistant cryptography. The 1.0 suite included: Advanced Encryption Standard with 256 bit keys Elliptic-curve Diffie–Hellman and Elliptic Curve Digital...

In public-key cryptography, Edwards-curve Digital Signature Algorithm (EdDSA) is a digital signature scheme using a variant of Schnorr signature based...

Bernstein proposed the use of a (twisted) Edwards curve, Curve25519, as a basis for elliptic curve cryptography; it is employed in Ed25519 implementation of...

an arbitrary finite group, and, in particular, elliptic curve groups, where it is known as elliptic curve MQV (ECMQV). MQV was initially proposed by Alfred...

hardness assumption used in elliptic curve cryptography. The XDH assumption holds if there exist certain subgroups of elliptic curves which have useful properties...

{\displaystyle m=E^{-1}(k_{E};c)} SECG, Standards for efficient cryptography, SEC 1: Elliptic Curve Cryptography, Version 2.0, May 21, 2009. Gayoso Martínez, Hernández...

In mathematics, the Montgomery curve is a form of elliptic curve introduced by Peter L. Montgomery in 1987, different from the usual Weierstrass form...

{\displaystyle GF(p)} , but an elliptic curve variant (EC-KCDSA) is also specified. KCDSA requires a collision-resistant cryptographic hash function that can...

that implements CNG is housed in Bcrypt.dll. CNG also supports elliptic curve cryptography which, because it uses shorter keys for the same expected level...

was one of the first: 289  to see the commercial potential of Elliptic Curve Cryptography (ECC), and much of his subsequent work was devoted to developing...

See elliptic curve cryptography (ECC) for more information about ECC. New hardware in the 4769 adds support to accelerate the Elliptic Curves 25519...

efficient and interoperable cryptography based on elliptic curve cryptography (ECC). SECG home page SEC 1: Elliptic Curve Cryptography (Version 1.0 - Superseded...

theory, and more recently in cryptography and Digital Signature Authentication (See elliptic curve cryptography and elliptic curve DSA). While in number theory...

theory and have been applied in elliptic-curve cryptography. Their vertices represent supersingular elliptic curves over finite fields and their edges...

professor, creator of elliptic curve cryptography and hyperelliptic curve cryptography Doug Stinson, professor, author of Cryptography: Theory and Practice...