Lenstra elliptic-curve factorization
GPTKB entity
Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
integer factorization algorithm
|
gptkbp:abbreviation |
gptkb:ECM
|
gptkbp:alsoKnownAs |
gptkb:Lenstra_elliptic_curve_method
|
gptkbp:application |
crypt
integer factorization records |
gptkbp:complexity |
sub-exponential for small factors
|
gptkbp:field |
computational number theory
|
https://www.w3.org/2000/01/rdf-schema#label |
Lenstra elliptic-curve factorization
|
gptkbp:improves |
gptkb:Montgomery's_method
parallelization |
gptkbp:input |
composite integer
|
gptkbp:introducedIn |
1985
|
gptkbp:inventedBy |
gptkb:Hendrik_Lenstra
|
gptkbp:namedAfter |
gptkb:Hendrik_Lenstra
|
gptkbp:notableFor |
efficiency in finding small factors
|
gptkbp:output |
nontrivial factor of input integer
|
gptkbp:purpose |
integer factorization
|
gptkbp:relatedTo |
gptkb:Pollard's_p−1_algorithm
gptkb:general_number_field_sieve |
gptkbp:supportsAlgorithm |
gptkb:algorithm
|
gptkbp:uses |
elliptic curves
|
gptkbp:bfsParent |
gptkb:Hendrik_Lenstra
|
gptkbp:bfsLayer |
6
|