estimator.ntru_parameters.NTRUParameters

class estimator.ntru_parameters.NTRUParameters(n: int, q: int, Xs: ~estimator.nd.NoiseDistribution, Xe: ~estimator.nd.NoiseDistribution, m: int = <MagicMock id='140352297055040'>, tag: str | None = None, ntru_type: str = 'matrix')

The parameters for an NTRU problem instance. The estimator treats regular NTRU parameters as similar to LWE, but requires different estimation methodology for overstrethed parameters.

Parameters:

ntru_type – Specifies the type of NTRU instance the parameters represent. Currently supported types are, “matrix” for general matrix NTRU, “circulant” for circulant NTRU, “fixed” for circulant NTRU with a fixed geometry.

__call__(**kwargs)

Call self as a function.

Methods

__init__(n, q, Xs, Xe[, m, tag, ntru_type])
amplify_m(m)	Return an NTRU instance parameters with m samples produced from the samples in this instance.
normalize()	EXAMPLES:
switch_modulus()	Apply modulus switching and return new instance.
updated(**kwds)	Return a new set of parameters updated according to kwds.

Attributes

m	the number of LWE samples allowed to an attacker, optionally sage.all.oo for allowing infinitely many samples.
ntru_type
possibly_overstretched
tag	a name for the patameter set
n	the dimension of the LWE sample vector (Z/qZ)^n.
q	the modulus of the space Z/qZ of integers the LWE samples are in.
Xs	the distribution on Z/qZ from which the LWE secret is drawn
Xe	the distribution on Z/qZ from which the error term is drawn