Edwards curve

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkb:mathematical_concept
gptkbp:application Ed25519 signature scheme
Curve25519 key exchange
gptkbp:category gptkb:algebraic_geometry
number theory
gptkbp:definedIn equation x^2 + y^2 = 1 + dx^2y^2
gptkbp:field gptkb:mathematics
gptkb:finite_field
complex numbers
real numbers
gptkbp:generalizes twisted Edwards curve
gptkbp:groupLaw point addition
point doubling
gptkbp:introduced Harold M. Edwards
gptkbp:introducedIn 2007
gptkbp:namedAfter Harold M. Edwards
gptkbp:parameter d (nonzero, not 1)
gptkbp:property complete addition law for some parameters
faster and unified addition law
gptkbp:relatedTo gptkb:Montgomery_curve
gptkbp:subclassOf gptkb:elliptic_curve
gptkbp:usedIn cryptography
public-key cryptography
digital signatures
gptkbp:bfsParent gptkb:EdDSA
gptkb:Montgomery_curve
gptkbp:bfsLayer 7
https://www.w3.org/2000/01/rdf-schema#label Edwards curve