Statements (31)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:mathematical_concept |
gptkbp:category |
gptkb:elliptic_curve
|
gptkbp:definedIn |
equation ax^2 + y^2 = 1 + dx^2y^2
|
gptkbp:field |
complex numbers
real numbers finite field |
gptkbp:generalizes |
gptkb:Edwards_curve
|
gptkbp:hasApplication |
gptkb:EdDSA
gptkb:X25519 gptkb:Curve25519 |
https://www.w3.org/2000/01/rdf-schema#label |
twisted Edwards curves
|
gptkbp:introduced |
gptkb:Tanja_Lange
gptkb:Daniel_J._Bernstein |
gptkbp:introducedIn |
2007
|
gptkbp:notableExample |
gptkb:Ed25519
gptkb:Ed448 |
gptkbp:parameter |
a
d |
gptkbp:property |
complete addition law for some parameters
efficient addition law |
gptkbp:relatedTo |
gptkb:Weierstrass_form
gptkb:Montgomery_curve |
gptkbp:subclassOf |
gptkb:Edwards_curve
|
gptkbp:usedFor |
public key cryptography
digital signatures key exchange |
gptkbp:usedIn |
gptkb:elliptic_curve_cryptography
cryptography |
gptkbp:bfsParent |
gptkb:Edwards-Curve_Digital_Signature_Algorithm_(EdDSA)
|
gptkbp:bfsLayer |
7
|