Documentation
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Overview ¶
Package rgsw implements an RLWE-based GSW encryption and external product RLWE x RGSW -> RLWE. RSGW ciphertexts are tuples of two rlwe.GadgetCiphertext encrypting (`m(X)`, s*m(X)).
Index ¶
- func AddLazy(op interface{}, ringQP ringqp.Ring, opOut *Ciphertext)
- func MulByXPowAlphaMinusOneLazy(ctIn *Ciphertext, powXMinusOne ringqp.Poly, ringQP ringqp.Ring, ...)
- func MulByXPowAlphaMinusOneThenAddLazy(ctIn *Ciphertext, powXMinusOne ringqp.Poly, ringQP ringqp.Ring, ...)
- func NoiseRGSWCiphertext(ct *Ciphertext, pt ring.Poly, sk *rlwe.SecretKey, params rlwe.Parameters) (float64, float64)
- func Reduce(ctIn *Ciphertext, ringQP ringqp.Ring, opOut *Ciphertext)
- type Ciphertext
- func (ct Ciphertext) BinarySize() int
- func (ct Ciphertext) LevelP() int
- func (ct Ciphertext) LevelQ() int
- func (ct Ciphertext) MarshalBinary() (p []byte, err error)
- func (ct *Ciphertext) ReadFrom(r io.Reader) (n int64, err error)
- func (ct *Ciphertext) UnmarshalBinary(p []byte) (err error)
- func (ct Ciphertext) WriteTo(w io.Writer) (n int64, err error)
- type Encryptor
- type Evaluator
- type Plaintext
Constants ¶
This section is empty.
Variables ¶
This section is empty.
Functions ¶
func AddLazy ¶
func AddLazy(op interface{}, ringQP ringqp.Ring, opOut *Ciphertext)
AddLazy adds op to opOut, without modular reduction.
func MulByXPowAlphaMinusOneLazy ¶
func MulByXPowAlphaMinusOneLazy(ctIn *Ciphertext, powXMinusOne ringqp.Poly, ringQP ringqp.Ring, opOut *Ciphertext)
MulByXPowAlphaMinusOneLazy multiplies opOut by (X^alpha - 1) and returns the result on opOut.
func MulByXPowAlphaMinusOneThenAddLazy ¶
func MulByXPowAlphaMinusOneThenAddLazy(ctIn *Ciphertext, powXMinusOne ringqp.Poly, ringQP ringqp.Ring, opOut *Ciphertext)
MulByXPowAlphaMinusOneThenAddLazy multiplies opOut by (X^alpha - 1) and adds the result on opOut.
func NoiseRGSWCiphertext ¶
func NoiseRGSWCiphertext(ct *Ciphertext, pt ring.Poly, sk *rlwe.SecretKey, params rlwe.Parameters) (float64, float64)
NoiseRGSWCiphertext returns the log2 of the standard deviation of the noise of each component of the RGSW ciphertext. pt must be in the NTT and Montgomery domain
func Reduce ¶
func Reduce(ctIn *Ciphertext, ringQP ringqp.Ring, opOut *Ciphertext)
Reduce applies the modular reduction on ctIn and returns the result on opOut.
Types ¶
type Ciphertext ¶
type Ciphertext struct {
Value [2]rlwe.GadgetCiphertext
}
Ciphertext is a generic type for RGSW ciphertext.
func NewCiphertext ¶
func NewCiphertext(params rlwe.Parameters, levelQ, levelP, BaseTwoDecomposition int) (ct *Ciphertext)
NewCiphertext allocates a new RGSW Ciphertext in the NTT domain.
func (Ciphertext) BinarySize ¶
func (ct Ciphertext) BinarySize() int
BinarySize returns the serialized size of the object in bytes.
func (Ciphertext) LevelP ¶
func (ct Ciphertext) LevelP() int
LevelP returns the level of the modulus P of the target.
func (Ciphertext) LevelQ ¶
func (ct Ciphertext) LevelQ() int
LevelQ returns the level of the modulus Q of the target.
func (Ciphertext) MarshalBinary ¶
func (ct Ciphertext) MarshalBinary() (p []byte, err error)
MarshalBinary encodes the object into a binary form on a newly allocated slice of bytes.
func (*Ciphertext) ReadFrom ¶
func (ct *Ciphertext) ReadFrom(r io.Reader) (n int64, err error)
ReadFrom reads on the object from an io.Writer. It implements the io.ReaderFrom interface.
Unless r implements the buffer.Reader interface (see see lattigo/utils/buffer/reader.go), it will be wrapped into a bufio.Reader. Since this requires allocation, it is preferable to pass a buffer.Reader directly:
- When reading multiple values from a io.Reader, it is preferable to first first wrap io.Reader in a pre-allocated bufio.Reader.
- When reading from a var b []byte, it is preferable to pass a buffer.NewBuffer(b) as w (see lattigo/utils/buffer/buffer.go).
func (*Ciphertext) UnmarshalBinary ¶
func (ct *Ciphertext) UnmarshalBinary(p []byte) (err error)
UnmarshalBinary decodes a slice of bytes generated by Ciphertext.MarshalBinary or Ciphertext.WriteTo on the object.
func (Ciphertext) WriteTo ¶
func (ct Ciphertext) WriteTo(w io.Writer) (n int64, err error)
WriteTo writes the object on an io.Writer. It implements the io.WriterTo interface, and will write exactly object.BinarySize() bytes on w.
Unless w implements the buffer.Writer interface (see lattigo/utils/buffer/writer.go), it will be wrapped into a bufio.Writer. Since this requires allocations, it is preferable to pass a buffer.Writer directly:
- When writing multiple times to a io.Writer, it is preferable to first wrap the io.Writer in a pre-allocated bufio.Writer.
- When writing to a pre-allocated var b []byte, it is preferable to pass buffer.NewBuffer(b) as w (see lattigo/utils/buffer/buffer.go).
type Encryptor ¶
Encryptor is a type for encrypting RGSW ciphertexts. It implements the rlwe.Encryptor interface overriding the rlwe.Encryptor.Encrypt and rlwe.Encryptor.EncryptZero methods to accept rgsw.Ciphertext types in addition to ciphertexts types in the rlwe package.
func NewEncryptor ¶
func NewEncryptor(params rlwe.ParameterProvider, key rlwe.EncryptionKey) *Encryptor
NewEncryptor creates a new Encryptor type. Note that only secret-key encryption is supported at the moment.
func (Encryptor) Encrypt ¶
Encrypt encrypts a plaintext pt into a ciphertext ct, which can be a rgsw.Ciphertext or any of the `rlwe` cipheretxt types.
func (Encryptor) EncryptZero ¶
EncryptZero generates an encryption of zero into a ciphertext ct, which can be a rgsw.Ciphertext or any of the `rlwe` ciphertext types.
func (Encryptor) ShallowCopy ¶
ShallowCopy creates a shallow copy of this Encryptor in which all the read-only data-structures are shared with the receiver and the temporary buffers are reallocated. The receiver and the returned Encryptors can be used concurrently.
type Evaluator ¶
Evaluator is a type for evaluating homomorphic operations involving RGSW ciphertexts. It currently supports the external product between a RLWE and a RGSW ciphertext (see Evaluator.ExternalProduct).
func NewEvaluator ¶
func NewEvaluator(params rlwe.ParameterProvider, evk rlwe.EvaluationKeySet) *Evaluator
NewEvaluator creates a new Evaluator type supporting RGSW operations in addition to rlwe.Evaluator operations.
func (Evaluator) ExternalProduct ¶
func (eval Evaluator) ExternalProduct(op0 *rlwe.Ciphertext, op1 *Ciphertext, opOut *rlwe.Ciphertext)
ExternalProduct computes RLWE x RGSW -> RLWE
RLWE : (-as + m + e, a) x RGSW : [(-as + P*w*m1 + e, a), (-bs + e, b + P*w*m1)] = RLWE : (<RLWE, RGSW[0]>, <RLWE, RGSW[1]>)
func (Evaluator) ShallowCopy ¶
ShallowCopy creates a shallow copy of this Evaluator in which all the read-only data-structures are shared with the receiver and the temporary buffers are reallocated. The receiver and the returned Evaluators can be used concurrently.
func (Evaluator) WithKey ¶
func (eval Evaluator) WithKey(evk rlwe.EvaluationKeySet) *Evaluator
WithKey creates a shallow copy of the receiver Evaluator for which the evaluation key is set to the provided rlwe.EvaluationKeySet and where the temporary buffers are shared. The receiver and the returned Evaluators cannot be used concurrently.
type Plaintext ¶
type Plaintext rlwe.GadgetPlaintext
Plaintext stores an RGSW plaintext value.
func NewPlaintext ¶
func NewPlaintext(params rlwe.Parameters, value interface{}, levelQ, levelP, BaseTwoDecomposition int) (*Plaintext, error)
NewPlaintext creates a new RGSW plaintext from value, which can be either uint64, int64 or *ring.Poly. Plaintext is returned in the NTT and Montgomery domain.
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