P-521

E831967

ECDSA curve NIST-recommended elliptic curve elliptic curve prime-field elliptic curve

P-521 is a NIST-recommended 521-bit elliptic curve over a prime field widely used for high-security digital signatures in ECDSA.

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Observed surface forms (1)

Surface form	Occurrences
NIST P-521	1

Predicate	Object
instanceOf	ECDSA curve ⓘ NIST-recommended elliptic curve ⓘ elliptic curve ⓘ prime-field elliptic curve ⓘ
approximateSecurity	256-bit classical security ⓘ
basePointOrder	large prime order ⓘ
belongsTo	NIST prime curves NERFINISHED ⓘ
bitLength	521 bits ⓘ
category	high-security elliptic curve ⓘ
cofactor	1 ⓘ
coordinateSystem	Weierstrass form NERFINISHED ⓘ
curveEquationForm	y^2 = x^3 - 3x + b ⓘ
curveFamily	NIST P-curves NERFINISHED ⓘ
curveName	secp521r1 NERFINISHED ⓘ
definedInStandard	FIPS 186-4 NERFINISHED ⓘ FIPS 186-5 NERFINISHED ⓘ
designedFor	long-term security ⓘ
fieldPrimeSize	521 bits ⓘ
fieldType	prime field ⓘ
hasBasePoint	yes ⓘ
introducedBy	NIST NERFINISHED ⓘ
keySizeType	asymmetric key ⓘ
largerThan	P-256 ⓘ P-384 ⓘ
OID	1.3.132.0.35 ⓘ
primeModulusForm	2^521 - 1 ⓘ
privateKeySize	521 bits ⓘ
publicKeySize	larger than P-256 and P-384 ⓘ
recommendedBy	NIST Suite B (historical) NERFINISHED ⓘ
recommendedFor	digital signatures ⓘ
relativeTo	P-256 ⓘ P-384 ⓘ
securityLevel	high ⓘ
standardizedBy	NIST NERFINISHED ⓘ
suitableFor	government-grade applications ⓘ high-value data protection ⓘ
supports	authentication ⓘ data integrity ⓘ key agreement ⓘ public key cryptography ⓘ
usedFor	SSH NERFINISHED ⓘ TLS NERFINISHED ⓘ X.509 certificates NERFINISHED ⓘ code signing ⓘ document signing ⓘ
usedIn	ECDH NERFINISHED ⓘ ECDSA NERFINISHED ⓘ ECMQV NERFINISHED ⓘ

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

Elliptic Curve Digital Signature Algorithm → commonlyUsedCurve → P-521 ⓘ

brainpool curves → comparedTo → P-521 ⓘ

this entity surface form: NIST P-521