Elliptic Curve Cryptosystems

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf cryptographic system
gptkbp:advantage lower power consumption
faster computations
smaller key sizes
gptkbp:basedOn gptkb:Elliptic_Curve_Discrete_Logarithm_Problem
gptkbp:contrastsWith gptkb:RSA
gptkb:Diffie-Hellman
gptkbp:dependsOn implementation quality
curve selection
gptkbp:example gptkb:ECIES
gptkb:ECDSA
gptkb:ECDH
https://www.w3.org/2000/01/rdf-schema#label Elliptic Curve Cryptosystems
gptkbp:introduced gptkb:Neal_Koblitz
gptkb:Victor_S._Miller
gptkbp:introducedIn 1985
gptkbp:potentiallyBrokenBy quantum computers
gptkbp:relatedTo gptkb:post-quantum_cryptography
pairing-based cryptography
gptkbp:standardizedBy gptkb:NIST
gptkb:SECG
gptkbp:subjectOf crypt
mathematical research
patent disputes
security evaluations
standardization efforts
gptkbp:usedFor encryption
public key cryptography
digital signatures
key exchange
gptkbp:usedIn gptkb:Bitcoin
gptkb:cryptocurrency
TLS
mobile devices
smart cards
gptkbp:uses scalar multiplication
modular arithmetic
finite fields
private keys
elliptic curve mathematics
random curves
Koblitz curves
binary fields
point multiplication
prime fields
public key pairs
gptkbp:vulnerableTo side-channel attacks
fault attacks
gptkbp:bfsParent gptkb:Elliptic_Curves
gptkbp:bfsLayer 8