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Lattice Estimator 0.1 documentation
Documentation
Introduction
LWE Primal Attacks
LWE Dual Attacks
Coded-BKW for LWE
Arora-GB
Contributing
Parameters from the Literature
NIST PQC Round 3 Finalists
Homomorphic Encryption Standard
API Reference
estimator.cost
estimator.cost.Cost
estimator.cost.Cost.__init__
estimator.cost.Cost.clear
estimator.cost.Cost.combine
estimator.cost.Cost.copy
estimator.cost.Cost.filter
estimator.cost.Cost.fromkeys
estimator.cost.Cost.get
estimator.cost.Cost.items
estimator.cost.Cost.keys
estimator.cost.Cost.pop
estimator.cost.Cost.popitem
estimator.cost.Cost.register_impermanent
estimator.cost.Cost.reorder
estimator.cost.Cost.repeat
estimator.cost.Cost.sanity_check
estimator.cost.Cost.setdefault
estimator.cost.Cost.str
estimator.cost.Cost.update
estimator.cost.Cost.values
estimator.cost.Cost.impermanents
estimator.cost.Cost.key_map
estimator.cost.Cost.val_map
estimator.errors
estimator.gb
estimator.gb.AroraGB
estimator.gb.AroraGB.__init__
estimator.gb.AroraGB.cost_Gaussian_like
estimator.gb.AroraGB.cost_bounded
estimator.gb.AroraGB.equations_for_secret
estimator.gb.AroraGB.ps_single
estimator.gb.gb_cost
estimator.io
estimator.io.Logging
estimator.io.Logging.__init__
estimator.io.Logging.log
estimator.io.Logging.set_level
estimator.io.Logging.CRITICAL
estimator.io.Logging.DEBUG
estimator.io.Logging.ERROR
estimator.io.Logging.INFO
estimator.io.Logging.LEVEL0
estimator.io.Logging.LEVEL1
estimator.io.Logging.LEVEL2
estimator.io.Logging.LEVEL3
estimator.io.Logging.LEVEL4
estimator.io.Logging.LEVEL5
estimator.io.Logging.NOTSET
estimator.io.Logging.WARNING
estimator.io.Logging.detail_logger
estimator.io.Logging.logger
estimator.io.Logging.loggers
estimator.io.Logging.plain_logger
estimator.lwe
estimator.lwe.Estimate
estimator.lwe.Estimate.__init__
estimator.lwe.Estimate.rough
estimator.lwe_bkw
estimator.lwe_bkw.CodedBKW
estimator.lwe_bkw.CodedBKW.N
estimator.lwe_bkw.CodedBKW.__init__
estimator.lwe_bkw.CodedBKW.b
estimator.lwe_bkw.CodedBKW.cost
estimator.lwe_bkw.CodedBKW.t1
estimator.lwe_bkw.CodedBKW.ntest
estimator.lwe_dual
estimator.lwe_dual.DualHybrid
estimator.lwe_dual.DualHybrid.__init__
estimator.lwe_dual.DualHybrid.fft_solver
estimator.lwe_dual.DualHybrid.optimize_blocksize
estimator.lwe_dual.DualHybrid.cost
estimator.lwe_dual.DualHybrid.dual_reduce
estimator.lwe_dual.dual
estimator.lwe_dual.dual_hybrid
estimator.lwe_guess
estimator.lwe_guess.Distinguisher
estimator.lwe_guess.Distinguisher.__init__
estimator.lwe_guess.ExhaustiveSearch
estimator.lwe_guess.ExhaustiveSearch.__init__
estimator.lwe_guess.MITM
estimator.lwe_guess.MITM.X_range
estimator.lwe_guess.MITM.__init__
estimator.lwe_guess.MITM.cost
estimator.lwe_guess.MITM.local_range
estimator.lwe_guess.MITM.mitm_analytical
estimator.lwe_guess.MITM.locality
estimator.lwe_guess.guess_composition
estimator.lwe_guess.guess_composition.__init__
estimator.lwe_guess.guess_composition.dense_solve
estimator.lwe_guess.guess_composition.gammaf
estimator.lwe_guess.guess_composition.sparse_solve
estimator.lwe_parameters
estimator.lwe_parameters.LWEParameters
estimator.lwe_parameters.LWEParameters.__init__
estimator.lwe_parameters.LWEParameters.amplify_m
estimator.lwe_parameters.LWEParameters.normalize
estimator.lwe_parameters.LWEParameters.switch_modulus
estimator.lwe_parameters.LWEParameters.updated
estimator.lwe_parameters.LWEParameters.m
estimator.lwe_parameters.LWEParameters.tag
estimator.lwe_parameters.LWEParameters.n
estimator.lwe_parameters.LWEParameters.q
estimator.lwe_parameters.LWEParameters.Xs
estimator.lwe_parameters.LWEParameters.Xe
estimator.lwe_primal
estimator.lwe_primal.PrimalHybrid
estimator.lwe_primal.PrimalHybrid.__init__
estimator.lwe_primal.PrimalHybrid.babai_cost
estimator.lwe_primal.PrimalHybrid.cost_zeta
estimator.lwe_primal.PrimalHybrid.svp_dimension
estimator.lwe_primal.PrimalHybrid.cost
estimator.lwe_primal.PrimalUSVP
estimator.lwe_primal.PrimalUSVP.__init__
estimator.lwe_primal.PrimalUSVP.cost_gsa
estimator.lwe_primal.PrimalUSVP.cost_simulator
estimator.lwe_primal.primal_bdd
estimator.nd
estimator.nd.NoiseDistribution
estimator.nd.NoiseDistribution.CenteredBinomial
estimator.nd.NoiseDistribution.DiscreteGaussian
estimator.nd.NoiseDistribution.DiscreteGaussianAlpha
estimator.nd.NoiseDistribution.SparseTernary
estimator.nd.NoiseDistribution.Uniform
estimator.nd.NoiseDistribution.UniformMod
estimator.nd.NoiseDistribution.__init__
estimator.nd.NoiseDistribution.get_hamming_weight
estimator.nd.NoiseDistribution.support_size
estimator.nd.NoiseDistribution.bounds
estimator.nd.NoiseDistribution.density
estimator.nd.NoiseDistribution.gaussian_tail_bound
estimator.nd.NoiseDistribution.gaussian_tail_prob
estimator.nd.NoiseDistribution.is_Gaussian_like
estimator.nd.NoiseDistribution.is_bounded
estimator.nd.NoiseDistribution.is_sparse
estimator.nd.NoiseDistribution.mean
estimator.nd.NoiseDistribution.n
estimator.nd.NoiseDistribution.tag
estimator.nd.NoiseDistribution.stddev
estimator.nd.sigmaf
estimator.nd.stddevf
estimator.prob
estimator.prob.amplify
estimator.prob.amplify_sigma
estimator.prob.babai
estimator.prob.drop
estimator.prob.mitm_babai_probability
estimator.reduction
estimator.reduction.ABFKSW20
estimator.reduction.ABFKSW20.LLL
estimator.reduction.ABFKSW20.__init__
estimator.reduction.ABFKSW20.beta
estimator.reduction.ABFKSW20.delta
estimator.reduction.ABFKSW20.short_vectors
estimator.reduction.ABFKSW20.short_vectors_simple
estimator.reduction.ABFKSW20.svp_repeat
estimator.reduction.ABLR21
estimator.reduction.ABLR21.LLL
estimator.reduction.ABLR21.__init__
estimator.reduction.ABLR21.beta
estimator.reduction.ABLR21.delta
estimator.reduction.ABLR21.short_vectors
estimator.reduction.ABLR21.short_vectors_simple
estimator.reduction.ABLR21.svp_repeat
estimator.reduction.ADPS16
estimator.reduction.ADPS16.LLL
estimator.reduction.ADPS16.__init__
estimator.reduction.ADPS16.beta
estimator.reduction.ADPS16.delta
estimator.reduction.ADPS16.short_vectors
estimator.reduction.ADPS16.short_vectors_simple
estimator.reduction.ADPS16.svp_repeat
estimator.reduction.BDGL16
estimator.reduction.BDGL16.LLL
estimator.reduction.BDGL16.__init__
estimator.reduction.BDGL16.beta
estimator.reduction.BDGL16.delta
estimator.reduction.BDGL16.short_vectors
estimator.reduction.BDGL16.short_vectors_simple
estimator.reduction.BDGL16.svp_repeat
estimator.reduction.CheNgu12
estimator.reduction.CheNgu12.LLL
estimator.reduction.CheNgu12.__init__
estimator.reduction.CheNgu12.beta
estimator.reduction.CheNgu12.delta
estimator.reduction.CheNgu12.short_vectors
estimator.reduction.CheNgu12.short_vectors_simple
estimator.reduction.CheNgu12.svp_repeat
estimator.reduction.GJ21
estimator.reduction.GJ21.LLL
estimator.reduction.GJ21.__init__
estimator.reduction.GJ21.beta
estimator.reduction.GJ21.d4f
estimator.reduction.GJ21.delta
estimator.reduction.GJ21.short_vectors
estimator.reduction.GJ21.short_vectors_simple
estimator.reduction.GJ21.svp_repeat
estimator.reduction.GJ21.NN_AGPS
estimator.reduction.Kyber
estimator.reduction.Kyber.LLL
estimator.reduction.Kyber.__init__
estimator.reduction.Kyber.beta
estimator.reduction.Kyber.d4f
estimator.reduction.Kyber.delta
estimator.reduction.Kyber.short_vectors
estimator.reduction.Kyber.short_vectors_simple
estimator.reduction.Kyber.svp_repeat
estimator.reduction.Kyber.NN_AGPS
estimator.reduction.LaaMosPol14
estimator.reduction.LaaMosPol14.LLL
estimator.reduction.LaaMosPol14.__init__
estimator.reduction.LaaMosPol14.beta
estimator.reduction.LaaMosPol14.delta
estimator.reduction.LaaMosPol14.short_vectors
estimator.reduction.LaaMosPol14.short_vectors_simple
estimator.reduction.LaaMosPol14.svp_repeat
estimator.reduction.MATZOV
estimator.reduction.MATZOV.LLL
estimator.reduction.MATZOV.__init__
estimator.reduction.MATZOV.beta
estimator.reduction.MATZOV.d4f
estimator.reduction.MATZOV.delta
estimator.reduction.MATZOV.short_vectors
estimator.reduction.MATZOV.short_vectors_simple
estimator.reduction.MATZOV.svp_repeat
estimator.reduction.MATZOV.NN_AGPS
estimator.reduction.RC
estimator.reduction.RC.LLL
estimator.reduction.RC.__init__
estimator.reduction.RC.beta
estimator.reduction.RC.delta
estimator.reduction.RC.ABFKSW20
estimator.reduction.RC.ABLR21
estimator.reduction.RC.ADPS16
estimator.reduction.RC.BDGL16
estimator.reduction.RC.CheNgu12
estimator.reduction.RC.GJ21
estimator.reduction.RC.Kyber
estimator.reduction.RC.LaaMosPol14
estimator.reduction.RC.MATZOV
estimator.reduction.ReductionCost
estimator.reduction.ReductionCost.LLL
estimator.reduction.ReductionCost.__init__
estimator.reduction.ReductionCost.beta
estimator.reduction.ReductionCost.delta
estimator.reduction.ReductionCost.short_vectors
estimator.reduction.ReductionCost.short_vectors_simple
estimator.reduction.ReductionCost.svp_repeat
estimator.reduction.beta
estimator.reduction.cost
estimator.reduction.delta
estimator.simulator
estimator.simulator.CN11
estimator.simulator.GSA
estimator.simulator.normalize
estimator.simulator.plot_gso
estimator.simulator.qary_simulator
estimator.util
estimator.util.Bounds
estimator.util.Bounds.__init__
estimator.util.Bounds.count
estimator.util.Bounds.index
estimator.util.Bounds.high
estimator.util.Bounds.low
estimator.util.Task
estimator.util.Task.__init__
estimator.util.Task.count
estimator.util.Task.index
estimator.util.Task.catch_exceptions
estimator.util.Task.f
estimator.util.Task.f_name
estimator.util.Task.log_level
estimator.util.Task.x
estimator.util.TaskResults
estimator.util.TaskResults.__init__
estimator.util.early_abort_range
estimator.util.early_abort_range.__init__
estimator.util.early_abort_range.update
estimator.util.early_abort_range.x
estimator.util.early_abort_range.y
estimator.util.local_minimum
estimator.util.local_minimum.__init__
estimator.util.local_minimum.update
estimator.util.local_minimum.neighborhood
estimator.util.local_minimum.x
estimator.util.local_minimum.y
estimator.util.local_minimum_base
estimator.util.local_minimum_base.__init__
estimator.util.local_minimum_base.update
estimator.util.local_minimum_base.x
estimator.util.local_minimum_base.y
estimator.util.batch_estimate
estimator.util.binary_search
estimator.util.f_name
estimator.util.log2
Appendix
Index
References
.rst
.pdf
estimator.reduction.RC.ABFKSW20
estimator.reduction.RC.ABFKSW20
#
RC.
ABFKSW20
=
<estimator.reduction.ABFKSW20
object>
#