ECC

E192661

ECC is a public-key cryptography approach that uses the mathematics of elliptic curves to provide strong security with relatively small key sizes.

All labels observed (1)

Label Occurrences
ECC canonical 2

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Statements (46)

Predicate Object
instanceOf asymmetric cryptography algorithm
public-key cryptography scheme
abbreviationFor Elliptic Curve Cryptography
advantage lower bandwidth requirements
lower storage requirements
reduced computational cost compared to RSA at equivalent security levels
smaller key sizes than RSA
basedOn algebraic structure of elliptic curves over finite fields
canBeUsedWith Curve25519-based schemes
surface form: Elliptic Curve Diffie–Hellman

Elliptic Curve Digital Signature Algorithm
comparedTo RSA
fullName Elliptic Curve Cryptography
hasConcept base point
curve order
elliptic curve domain parameters
private key
public key
keySizeExample 256-bit ECC key roughly comparable to 3072-bit RSA key
notableCurveFamilies Curve25519-based schemes
surface form: Curve25519 family

NIST P-256 family
secp256k1
offers similar security to RSA with smaller key sizes
operatesOver binary fields
prime fields
provides strong security with relatively small key sizes
requires careful curve selection to avoid vulnerabilities
constant-time implementations to resist side-channel attacks
researchArea post-quantum secure elliptic-curve-based constructions
securityReliesOn elliptic curve discrete logarithm problem
standardizedBy National Institute of Standards and Technology
surface form: NIST

SECG
suitableFor IoT devices
mobile devices
resource-constrained devices
threatenedBy large-scale quantum computers running Shor's algorithm
usedBy Bitcoin for public-key operations via secp256k1
many modern messaging protocols
usedFor digital signatures
key exchange
public-key encryption
usedIn HTTPS
TLS
VPN protocols
cryptographic wallets for cryptocurrencies
usesMathematicsOf elliptic curves
vulnerableIf weak or backdoored curves are used

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.