NIST P-256 family
E831061
The NIST P-256 family is a widely used set of 256-bit elliptic curves standardized by NIST for secure public-key cryptography and digital signatures.
All labels observed (7)
| Label | Occurrences |
|---|---|
| NIST P-256 | 2 |
| P-256 | 2 |
| secp256r1 | 2 |
| NIST P-256 family canonical | 1 |
| NIST prime curve | 1 |
| NIST prime curves | 1 |
| prime256v1 | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9931722 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: NIST P-256 family Context triple: [ECC, notableCurveFamilies, NIST P-256 family]
-
A.
Koblitz curves
Koblitz curves are a special class of elliptic curves defined over binary fields that enable particularly efficient and fast implementations of elliptic curve cryptography.
-
B.
brainpool curves
Brainpool curves are a family of elliptic curves over prime fields designed to provide high-security, efficiently implementable alternatives to earlier standardized curves in elliptic curve cryptography.
-
C.
Ed448
Ed448 is a modern high-security elliptic-curve digital signature algorithm designed for strong cryptographic assurance and efficient performance.
-
D.
Elliptic Curve Digital Signature Algorithm
Elliptic Curve Digital Signature Algorithm is a public-key cryptographic method that uses elliptic curve mathematics to create compact, secure digital signatures for authentication and data integrity.
-
E.
Ed25519
Ed25519 is a high-speed, high-security elliptic-curve digital signature scheme widely used in modern cryptographic protocols and software.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: NIST P-256 family Target entity description: The NIST P-256 family is a widely used set of 256-bit elliptic curves standardized by NIST for secure public-key cryptography and digital signatures.
-
A.
Koblitz curves
Koblitz curves are a special class of elliptic curves defined over binary fields that enable particularly efficient and fast implementations of elliptic curve cryptography.
-
B.
brainpool curves
Brainpool curves are a family of elliptic curves over prime fields designed to provide high-security, efficiently implementable alternatives to earlier standardized curves in elliptic curve cryptography.
-
C.
Ed448
Ed448 is a modern high-security elliptic-curve digital signature algorithm designed for strong cryptographic assurance and efficient performance.
-
D.
Elliptic Curve Digital Signature Algorithm
Elliptic Curve Digital Signature Algorithm is a public-key cryptographic method that uses elliptic curve mathematics to create compact, secure digital signatures for authentication and data integrity.
-
E.
Ed25519
Ed25519 is a high-speed, high-security elliptic-curve digital signature scheme widely used in modern cryptographic protocols and software.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
elliptic curve family
ⓘ
public-key cryptography primitive ⓘ |
| aliasOf |
NIST P-256
ⓘ
linked to:
NIST P-256 family
prime256v1 ⓘ
linked to:
NIST P-256 family
secp256r1 ⓘ
linked to:
NIST P-256 family
|
| approxIntroductionPeriod | late 1990s ⓘ |
| basedOnProblem | elliptic curve discrete logarithm problem ⓘ |
| belongsToSuite |
FIPS 186 elliptic curves
ⓘ
linked to:
FIPS 186
NIST prime curves ⓘ
linked to:
NIST P-256 family
|
| bitLength | 256 ⓘ |
| category | NIST-recommended elliptic curves ⓘ |
| cofactor | 1 ⓘ |
| comparedWith |
Curve25519
ⓘ
linked to:
Curve25519-based schemes
Ed25519 ⓘ |
| curveEquationForm | short Weierstrass form ⓘ |
| curveNameIncludes |
P-256
ⓘ
linked to:
NIST P-256 family
prime256v1 ⓘ secp256r1 ⓘ
linked to:
NIST P-256 family
|
| curveType | random prime curve ⓘ |
| definedOver | GF(p) ⓘ |
| designGoal |
efficient hardware implementation
ⓘ
efficient software implementation ⓘ |
| fieldType | prime field ⓘ |
| keySize | 256-bit private key ⓘ |
| publicKeySizeApprox | 512 bits ⓘ |
| recommendedBy | NIST Cryptographic Technology Group ⓘ |
| securityGoal | resistance to known classical attacks on elliptic curves ⓘ |
| securityLevel | approximately 128-bit security ⓘ |
| standardDocument |
FIPS 186-4
ⓘ
FIPS 186-5 ⓘ SP 800-186 ⓘ |
| standardizedBy | NIST ⓘ |
| status |
NIST-approved
ⓘ
widely used ⓘ |
| supportsAlgorithm |
ECDH key exchange
ⓘ
ECDSA digital signatures ⓘ |
| usedFor |
ECDH
ⓘ
linked to:
Diffie–Hellman key exchange
ECDSA ⓘ
linked to:
Elliptic Curve Digital Signature Algorithm
IPsec ⓘ SSH ⓘ TLS ⓘ X.509 certificates ⓘ digital signatures ⓘ key agreement ⓘ key establishment ⓘ public-key cryptography ⓘ |
| widelyDeployedIn |
TLS libraries
ⓘ
cryptographic hardware modules ⓘ mobile operating systems ⓘ web browsers ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: NIST P-256 family Description of subject: The NIST P-256 family is a widely used set of 256-bit elliptic curves standardized by NIST for secure public-key cryptography and digital signatures.
Referenced by (10)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family
linked to: NIST P-256 family