Elliptic Curve Cryptography

E37202

asymmetric cryptography public-key cryptography scheme

Elliptic Curve Cryptography is a public-key cryptographic approach that uses the mathematics of elliptic curves over finite fields to provide strong security with relatively small key sizes.

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All labels observed (1)

Label	Occurrences
Elliptic Curve Cryptography canonical	3

Statements (49)

Predicate	Object
instanceOf	asymmetric cryptography ⓘ public-key cryptography scheme ⓘ
abbreviation	ECC ⓘ
advantageOverRSA	lower bandwidth requirements ⓘ lower computational cost on constrained devices ⓘ smaller key sizes for comparable security ⓘ
applicationDomain	embedded systems security ⓘ internet security ⓘ
basedOn	elliptic curves ⓘ
comparedTo	RSA ⓘ
designGoal	high security per bit of key length ⓘ
hasVariant	Curve25519-based schemes ⓘ Ed25519 signatures ⓘ Koblitz curves ⓘ brainpool curves ⓘ
includesScheme	ECMQV ⓘ Diffie–Hellman key exchange ⓘ surface form: Elliptic Curve Diffie–Hellman Elliptic Curve Digital Signature Algorithm ⓘ
introducedBy	Neal Koblitz ⓘ Neal Koblitz ⓘ surface form: Victor S. Miller
keyAdvantage	strong security with relatively small key sizes ⓘ
notVulnerableTo	classical sub-exponential algorithms known for integer factorization ⓘ
provides	digital signatures ⓘ key agreement ⓘ public-key encryption ⓘ
requires	careful curve selection ⓘ secure parameter generation ⓘ
securityBasedOn	elliptic curve discrete logarithm problem ⓘ
standardizedBy	ANSI ⓘ IEEE Standards Association ⓘ surface form: IEEE National Institute of Standards and Technology ⓘ surface form: NIST SECG ⓘ
threatenedBy	quantum computers running Shor's algorithm ⓘ
typicalField	binary fields ⓘ extension fields ⓘ prime fields ⓘ
usedIn	HTTPS ⓘ PGP ⓘ SSH ⓘ TLS ⓘ blockchain systems ⓘ cryptocurrencies ⓘ mobile device security ⓘ smart cards ⓘ
uses	elliptic curves over finite fields ⓘ group law on elliptic curves ⓘ
vulnerableTo	poorly chosen curves ⓘ side-channel attacks if not implemented correctly ⓘ
yearProposed	1985 ⓘ

Referenced by (3)

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

RSA → comparedWith → Elliptic Curve Cryptography ⓘ

ECC → fullName → Elliptic Curve Cryptography ⓘ

ECC → abbreviationFor → Elliptic Curve Cryptography ⓘ