Learning With Errors problem
GPTKB entity
Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
theoretical computer science
|
| gptkbp:abbreviation |
gptkb:LWE
|
| gptkbp:application |
zero-knowledge proofs
key exchange secure multiparty computation attribute-based encryption functional encryption identity-based encryption pseudorandom functions |
| gptkbp:basisFor |
gptkb:FrodoKEM
gptkb:NTRU_Signature_Scheme gptkb:post-quantum_cryptography gptkb:NTRUEncrypt lattice-based cryptography Dilithium (digital signature) FHE schemes (e.g., Gentry's scheme) Kyber (cryptosystem) LWE-based cryptosystems NewHope (key exchange) |
| gptkbp:category |
NP-hardness (related lattice problems)
average-case hardness |
| gptkbp:difficulty |
believed to be hard for classical computers
believed to be hard for quantum computers |
| gptkbp:field |
computer science
cryptography |
| gptkbp:generalizes |
learning parity with noise problem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Learning With Errors problem
|
| gptkbp:introduced |
gptkb:Oded_Regev
|
| gptkbp:introducedIn |
2005
|
| gptkbp:notablePublication |
Oded Regev, 'On lattices, learning with errors, random linear codes, and cryptography', STOC 2005
|
| gptkbp:parameter |
dimension n
error distribution modulus q |
| gptkbp:relatedTo |
Gaussian noise
error-correcting codes modular arithmetic shortest vector problem decisional LWE lattice problems search LWE short integer solution problem closest vector problem bounded distance decoding problem module learning with errors problem random linear codes ring learning with errors problem |
| gptkbp:securityBasedOn |
worst-case hardness of lattice problems
|
| gptkbp:usedIn |
gptkb:homomorphic_encryption
digital signatures public-key encryption NIST post-quantum cryptography standardization |
| gptkbp:bfsParent |
gptkb:FrodoKEM
|
| gptkbp:bfsLayer |
7
|