bootstrapping

package
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 Go to latest Published: May 16, 2023 License: Apache-2.0 Imports: 7 Imported by: 0

Documentation

Overview

Package bootstrapping implement the bootstrapping for the CKKS scheme.

Index

Constants

This section is empty.

Variables

View Source 
var (
	// N16QP1546H192H32 is a default bootstrapping parameters for a main secret with H=192 and an ephemeral secret with H=32.
	// Residual Q : 420 bits.
	// Precision : 26.6 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1546H192H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     192,
			Q: []uint64{
				0x10000000006e0001,
				0x10000140001,
				0xffffe80001,
				0xffffc40001,
				0x100003e0001,
				0xffffb20001,
				0x10000500001,
				0xffff940001,
				0xffff8a0001,
				0xffff820001,
				0x7fffe60001,
				0x7fffe40001,
				0x7fffe00001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0xfffffffff2a0001,
				0x100000000060001,
				0xfffffffff00001,
				0xffffffffd80001,
				0x1000000002a0001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
				0x1fffffffff420001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 40,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          12,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x7fffe60001},
					{0x7fffe40001},
					{0x7fffe00001},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x10000000006e0001,
				LevelStart:    20,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 60,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          24,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x100000000060001},
					{0xfffffffff00001},
					{0xffffffffd80001},
					{0x1000000002a0001},
				},
			},
		},
	}

	// N16QP1547H192H32 is a default bootstrapping parameters for a main secret with H=192 and an ephemeral secret with H=32.
	// Residual Q : 285 bits.
	// Precision : 32.1 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1547H192H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     192,
			Q: []uint64{
				0x10000000006e0001,
				0x2000000a0001,
				0x2000000e0001,
				0x1fffffc20001,
				0x200000440001,
				0x200000500001,
				0x3ffffe80001,
				0x3ffffd20001,
				0x3ffffca0001,
				0xffffffffffc0001,
				0xfffffffff240001,
				0x1000000000f00001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0xfffffffff2a0001,
				0x400000000360001,
				0x3ffffffffbe0001,
				0x400000000660001,
				0x4000000008a0001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 45,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          8,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x3ffffe80001},
					{0x3ffffd20001},
					{0x3ffffca0001},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x10000000006e0001,
				LevelStart:    19,
				SineType:      advanced.Cos1,
				MessageRatio:  4.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    7,
				ScalingFactor: 1 << 60,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          23,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x400000000360001},
					{0x3ffffffffbe0001},
					{0x400000000660001},
					{0x4000000008a0001},
				},
			},
		},
	}

	// N16QP1553H192H32 is a default bootstrapping parameters for a main secret with H=192 and an ephemeral secret with H=32.
	// Residual Q : 505 bits.
	// Precision : 19.1 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1553H192H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     192,
			Q: []uint64{
				0x80000000080001,
				0xffffffffffc0001,
				0x10000000006e0001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0x80000000440001,
				0x7fffffffba0001,
				0x80000000500001,
				0x7fffffffaa0001,
				0x800000005e0001,
				0x7fffffff7e0001,
				0x7fffffff380001,
				0x80000000ca0001,
				0x200000000e0001,
				0x20000000140001,
				0x20000000280001,
				0x1fffffffd80001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
				0x1fffffffff420001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 30,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          9,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{1073741824.0},
					{1073741824.0062866, 1073741824.0062866},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x80000000080001,
				LevelStart:    17,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 55,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          21,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x200000000e0001},
					{0x20000000140001},
					{0x20000000280001},
					{0x1fffffffd80001},
				},
			},
		},
	}

	// N15QP768H192H32 is a default bootstrapping parameters for a main secret with H=192 and an ephemeral secret with H=32.
	// Residual Q : 110 bits.
	// Precision : 15.4 bits for 2^{14} slots.
	// Failure : 2^{-139.7} for 2^{14} slots.
	N15QP768H192H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  15,
			Sigma: rlwe.DefaultSigma,
			H:     192,
			Q: []uint64{
				0x1fff90001,
				0x4000000420001,
				0x1fc0001,
				0xffffffffffc0001,
				0x4000000120001,
				0x40000001b0001,
				0x3ffffffdf0001,
				0x4000000270001,
				0x3ffffffd20001,
				0x3ffffffcd0001,
				0x4000000350001,
				0x3ffffffc70001,
				0x1fffffff50001,
				0x1ffffffea0001,
			},
			P: []uint64{
				0x7fffffffe0001,
				0x8000000110001,
			},
			LogSlots:     14,
			DefaultScale: 1 << 25,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          3,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{1073741823.9998779, 1073741823.9998779},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x1fff90001,
				LevelStart:    11,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 50,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          13,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x1fffffff50001},
					{0x1ffffffea0001},
				},
			},
		},
	}

	// N16QP1767H32768H32 is a default bootstrapping parameters for a main secret with H=32768 and an ephemeral secret with H=32.
	// Residual Q : 580 bits.
	// Precision : 23.0 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1767H32768H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     32768,
			Q: []uint64{
				0x10000000006e0001,
				0x10000140001,
				0xffffe80001,
				0xffffc40001,
				0x100003e0001,
				0xffffb20001,
				0x10000500001,
				0xffff940001,
				0xffff8a0001,
				0xffff820001,
				0xffff780001,
				0x10000960001,
				0x10000a40001,
				0xffff580001,
				0x7fffe60001,
				0x7fffe40001,
				0x7fffe00001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0xfffffffff2a0001,
				0x100000000060001,
				0xfffffffff00001,
				0xffffffffd80001,
				0x1000000002a0001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
				0x1fffffffff420001,
				0x1fffffffff380001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 40,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          16,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x7fffe60001},
					{0x7fffe40001},
					{0x7fffe00001},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x10000000006e0001,
				LevelStart:    24,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 60,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          28,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x100000000060001},
					{0xfffffffff00001},
					{0xffffffffd80001},
					{0x1000000002a0001},
				},
			},
		},
	}

	// N16QP1788H32768H32 is a default bootstrapping parameters for a main secret with H=32768 and an ephemeral secret with H=32.
	// Residual Q : 465 bits.
	// Precision : 29.0 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1788H32768H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     32768,
			Q: []uint64{
				0x10000000006e0001,
				0x2000000a0001,
				0x2000000e0001,
				0x1fffffc20001,
				0x200000440001,
				0x200000500001,
				0x200000620001,
				0x1fffff980001,
				0x2000006a0001,
				0x1fffff7e0001,
				0x3ffffe80001,
				0x3ffffd20001,
				0x3ffffca0001,
				0xffffffffffc0001,
				0xfffffffff240001,
				0x1000000000f00001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0xfffffffff2a0001,
				0x400000000360001,
				0x3ffffffffbe0001,
				0x400000000660001,
				0x4000000008a0001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
				0x1fffffffff420001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 45,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          12,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x3ffffe80001},
					{0x3ffffd20001},
					{0x3ffffca0001},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x10000000006e0001,
				LevelStart:    23,
				SineType:      advanced.Cos1,
				MessageRatio:  4.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    7,
				ScalingFactor: 1 << 60,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          27,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x400000000360001},
					{0x3ffffffffbe0001},
					{0x400000000660001},
					{0x4000000008a0001},
				},
			},
		},
	}

	// N16QP1793H32768H32 is a default bootstrapping parameters for a main secret with H=32768 and an ephemeral secret with H=32.
	// Residual Q : 745 bits.
	// Precision : 17.8 bits for 2^{15} slots.
	// Failure : 2^{-138.7} for 2^{15} slots.
	N16QP1793H32768H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  16,
			Sigma: rlwe.DefaultSigma,
			H:     32768,
			Q: []uint64{
				0x80000000080001,
				0xffffffffffc0001,
				0x10000000006e0001,
				0xfffffffff840001,
				0x1000000000860001,
				0xfffffffff6a0001,
				0x1000000000980001,
				0xfffffffff5a0001,
				0xfffffffff2a0001,
				0xfffffffff240001,
				0x1000000000f00001,
				0xffffffffefe0001,
				0x1000000000b00001,
				0x1000000000ce0001,
				0x80000000440001,
				0x7fffffffba0001,
				0x80000000500001,
				0x7fffffffaa0001,
				0x800000005e0001,
				0x7fffffff7e0001,
				0x7fffffff380001,
				0x80000000ca0001,
				0x200000000e0001,
				0x20000000140001,
				0x20000000280001,
				0x1fffffffd80001,
			},
			P: []uint64{
				0x1fffffffffe00001,
				0x1fffffffffc80001,
				0x1fffffffffb40001,
				0x1fffffffff500001,
				0x1fffffffff420001,
			},
			LogSlots:     15,
			DefaultScale: 1 << 30,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          13,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{1073741824.0},
					{1073741824.0062866, 1073741824.0062866},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x80000000080001,
				LevelStart:    21,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 55,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          25,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x200000000e0001},
					{0x20000000140001},
					{0x20000000280001},
					{0x1fffffffd80001},
				},
			},
		},
	}

	// N15QP880H16384H32 is a default bootstrapping parameters for a main secret with H=16384 and an ephemeral secret with H=32.
	// Residual Q : 166 bits.
	// Precision : 17.3 bits for 2^{14} slots.
	// Failure : 2^{-139.7} for 2^{14} slots.
	N15QP880H16384H32 = defaultParametersLiteral{
		ckks.ParametersLiteral{
			LogN:  15,
			Sigma: rlwe.DefaultSigma,
			H:     16384,
			Q: []uint64{
				0x10000140001,
				0x7ffe0001,
				0x7ff80001,
				0x80140001,
				0x7fea0001,
				0x1000000000ce0001,
				0x80000000080001,
				0x80000000440001,
				0x7fffffffba0001,
				0x80000000500001,
				0x7fffffffaa0001,
				0x800000005e0001,
				0x7fffffff7e0001,
				0x7fffffff380001,
				0x10000000060001,
				0xffffffff00001,
			},
			P: []uint64{
				0x100000000060001,
				0x1000000002a0001,
			},
			LogSlots:     14,
			DefaultScale: 1 << 31,
		},

		Parameters{
			EphemeralSecretWeight: 32,
			SlotsToCoeffsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.SlotsToCoeffs,
				RepackImag2Real:     true,
				LevelStart:          5,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{1073741824.0062866, 1073741824.0062866},
				},
			},
			EvalModParameters: advanced.EvalModLiteral{
				Q:             0x10000140001,
				LevelStart:    13,
				SineType:      advanced.Cos1,
				MessageRatio:  256.0,
				K:             16,
				SineDeg:       30,
				DoubleAngle:   3,
				ArcSineDeg:    0,
				ScalingFactor: 1 << 55,
			},
			CoeffsToSlotsParameters: advanced.EncodingMatrixLiteral{
				LinearTransformType: advanced.CoeffsToSlots,
				RepackImag2Real:     true,
				LevelStart:          15,
				BSGSRatio:           2.0,
				BitReversed:         false,
				ScalingFactor: [][]float64{
					{0x10000000060001},
					{0xffffffff00001},
				},
			},
		},
	}
)
View Source 
var DefaultParametersDense = []defaultParametersLiteral{N16QP1767H32768H32, N16QP1788H32768H32, N16QP1793H32768H32, N15QP880H16384H32}

DefaultParametersDense is a set of default bootstrapping parameters with H=N/2 as main secret and H=32 as ephemeral secret.

View Source 
var DefaultParametersSparse = []defaultParametersLiteral{N16QP1546H192H32, N16QP1547H192H32, N16QP1553H192H32, N15QP768H192H32}

DefaultParametersSparse is a set of default bootstrapping parameters with H=192 as main secret and H=32 as ephemeral secret.

Functions

This section is empty.

Types

type Bootstrapper 

type Bootstrapper struct {
	advanced.Evaluator
	// contains filtered or unexported fields
}

Bootstrapper is a struct to store a memory buffer with the plaintext matrices, the polynomial approximation, and the keys for the bootstrapping.

func NewBootstrapper 

func NewBootstrapper(params ckks.Parameters, btpParams Parameters, btpKeys EvaluationKeys) (btp *Bootstrapper, err error)

NewBootstrapper creates a new Bootstrapper.

func (*Bootstrapper) Bootstrap 

func (btp *Bootstrapper) Bootstrap(ctIn *rlwe.Ciphertext) (ctOut *rlwe.Ciphertext)

Bootstrap re-encrypts a ciphertext at lvl Q0 to a ciphertext at MaxLevel-k where k is the depth of the bootstrapping circuit. If the input ciphertext level is zero, the input scale must be an exact power of two smaller or equal to round(Q0/2^{10}). If the input ciphertext is at level one or more, the input scale does not need to be an exact power of two as one level can be used to do a scale matching.

func (Bootstrapper) CheckKeys 

func (bb Bootstrapper) CheckKeys(btpKeys EvaluationKeys) (err error)

CheckKeys checks if all the necessary keys are present in the instantiated Bootstrapper

func (*Bootstrapper) ShallowCopy 

func (btp *Bootstrapper) ShallowCopy() *Bootstrapper

ShallowCopy creates a shallow copy of this Bootstrapper in which all the read-only data-structures are shared with the receiver and the temporary buffers are reallocated. The receiver and the returned Bootstrapper can be used concurrently.

type EvaluationKeys 

type EvaluationKeys struct {
	rlwe.EvaluationKey
	SwkDtS *rlwe.SwitchingKey
	SwkStD *rlwe.SwitchingKey
}

EvaluationKeys is a type for a CKKS bootstrapping key, which regroups the necessary public relinearization and rotation keys.

func GenEvaluationKeys 

func GenEvaluationKeys(btpParams Parameters, ckksParams ckks.Parameters, sk *rlwe.SecretKey) EvaluationKeys

GenEvaluationKeys generates the bootstrapping EvaluationKeys, which contain: 

Rlk: *rlwe.RelinearizationKey
Rtks: *rlwe.RotationKeySet
SwkDtS: *rlwe.SwitchingKey
SwkStD: *rlwe.SwitchingKey

type Parameters 

type Parameters struct {
	SlotsToCoeffsParameters advanced.EncodingMatrixLiteral
	EvalModParameters       advanced.EvalModLiteral
	CoeffsToSlotsParameters advanced.EncodingMatrixLiteral
	EphemeralSecretWeight   int // Hamming weight of the ephemeral secret. If 0, no ephemeral secret is used during the bootstrapping.
}

Parameters is a struct for the default bootstrapping parameters

func (*Parameters) GenEncapsulationSwitchingKeys 

func (p *Parameters) GenEncapsulationSwitchingKeys(params ckks.Parameters, skDense *rlwe.SecretKey) (swkDtS, swkStD *rlwe.SwitchingKey)

GenEncapsulationSwitchingKeys generates the low level encapsulation switching keys for the bootstrapping.

func (*Parameters) MarshalBinary 

func (p *Parameters) MarshalBinary() (data []byte, err error)

MarshalBinary encode the target Parameters on a slice of bytes.

func (*Parameters) RotationsForBootstrapping 

func (p *Parameters) RotationsForBootstrapping(params ckks.Parameters) (rotations []int)

RotationsForBootstrapping returns the list of rotations performed during the Bootstrapping operation.

func (*Parameters) UnmarshalBinary 

func (p *Parameters) UnmarshalBinary(data []byte) (err error)

UnmarshalBinary decodes a slice of bytes on the target Parameters.

Source Files

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