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...

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

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...

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

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...

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

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

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...

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

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

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

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...

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

versions included a fourth generator, Dual_EC_DRBG (based on elliptic curve cryptography). Dual_EC_DRBG was later reported to probably contain a kleptographic...

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

Patent-related uncertainty around elliptic curve cryptography (ECC), or ECC patents, is one of the main factors limiting its wide acceptance. For example...

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

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

exchange Digital Signature Algorithm Elliptic-curve cryptography Key exchange Key management Key size Public-key cryptography Rabin cryptosystem Trapdoor function...

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

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

This curve was suggested for application in elliptic curve cryptography, because arithmetic in this curve representation is faster and needs less memory...

Doche–Icart–Kohel curve is a form in which an elliptic curve can be written. It is a special case of the Weierstrass form and it is also important in elliptic-curve cryptography...