Elliptic Curve Cryptography

E37202

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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Generate an image of Elliptic Curve Cryptography (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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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 ⓘ
Elliptic Curve Diffie–Hellman ⓘ
Elliptic Curve Digital Signature Algorithm ⓘ
introducedBy Neal Koblitz ⓘ
Victor S. Miller ⓘ
linked to: Neal Koblitz
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 ⓘ
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 ⓘ

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Referenced by (6)

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 ⓘ
Schoof–Elkies–Atkin (SEA) point-counting algorithm → field → elliptic curve cryptography ⓘ
linked to: Elliptic Curve Cryptography
Weierstrass form → usedIn → elliptic curve cryptography ⓘ
linked to: Elliptic Curve Cryptography
SEC 2 (Standards for Efficient Cryptography) historical recommendations → relatedTo → SEC 1 (Elliptic Curve Cryptography) ⓘ
linked to: Elliptic Curve Cryptography