Template Class LeveledSHEBase

Page Contents

Template Parameter Order

  1. class Element

Class Documentation

template<class Element>
class lbcrypto::LeveledSHEBase

Abstract interface class for LBC SHE algorithms.

Template Parameters

Element – a ring element.

Public Functions

inline virtual ~LeveledSHEBase()
virtual Ciphertext<Element> EvalNegate(ConstCiphertext<Element> ciphertext) const

Virtual function to define the homomorphic negation of ciphertext.

Parameters

&ciphertext – the input ciphertext.

Returns

new ciphertext.

virtual void EvalNegateInPlace(Ciphertext<Element> &ciphertext) const

Virtual function to define the interface for homomorphic negation of ciphertext.

Parameters

&ciphertext – the input ciphertext.

Returns

new ciphertext.

virtual Ciphertext<Element> EvalAdd(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const

Virtual function to define the interface for homomorphic addition of ciphertexts.

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

virtual void EvalAddInPlace(Ciphertext<Element> &ciphertext1, ConstCiphertext<Element> ciphertext2) const

Virtual function to define the interface for in-place homomorphic addition of ciphertexts.

Parameters

  • ciphertext1 – the input/output ciphertext.

  • ciphertext2 – the input ciphertext.

inline virtual Ciphertext<Element> EvalAddMutable(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const

Virtual function to define the interface for homomorphic addition of ciphertexts. This is the mutable version - input ciphertexts may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

inline virtual void EvalAddMutableInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
virtual Ciphertext<Element> EvalAdd(ConstCiphertext<Element> ciphertext, ConstPlaintext plaintext) const

Virtual function to define the interface for homomorphic addition of ciphertexts.

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

virtual void EvalAddInPlace(Ciphertext<Element> &ciphertext, ConstPlaintext plaintext) const

Virtual function to define the interface for homomorphic addition of ciphertexts.

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

inline virtual Ciphertext<Element> EvalAddMutable(Ciphertext<Element> &ciphertext, Plaintext plaintext) const

Virtual function to define the interface for homomorphic addition of ciphertexts. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

inline virtual void EvalAddMutableInPlace(Ciphertext<Element> &ciphertext, Plaintext plaintext) const

Virtual function to define the interface for homomorphic addition of ciphertexts. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

inline virtual Ciphertext<Element> EvalAdd(ConstCiphertext<Element> ciphertext, const NativeInteger &constant) const
inline virtual void EvalAddInPlace(Ciphertext<Element> &ciphertext, const NativeInteger &constant) const
inline virtual Ciphertext<Element> EvalAdd(ConstCiphertext<Element> ciphertext, double constant) const
inline virtual void EvalAddInPlace(Ciphertext<Element> &ciphertext, double constant) const
virtual Ciphertext<Element> EvalSub(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts.

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

virtual void EvalSubInPlace(Ciphertext<Element> &ciphertext1, ConstCiphertext<Element> ciphertext2) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts.

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

inline virtual Ciphertext<Element> EvalSubMutable(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

inline virtual void EvalSubMutableInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

virtual Ciphertext<Element> EvalSub(ConstCiphertext<Element> ciphertext, ConstPlaintext plaintext) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts.

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

virtual void EvalSubInPlace(Ciphertext<Element> &ciphertext, ConstPlaintext plaintext) const
inline virtual Ciphertext<Element> EvalSubMutable(Ciphertext<Element> &ciphertext, Plaintext plaintext) const

Virtual function to define the interface for homomorphic subtraction of ciphertexts. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

inline virtual void EvalSubMutableInPlace(Ciphertext<Element> &ciphertext, Plaintext plaintext) const
inline virtual Ciphertext<Element> EvalSub(ConstCiphertext<Element> ciphertext, const NativeInteger &constant) const
inline virtual void EvalSubInPlace(Ciphertext<Element> &ciphertext, const NativeInteger &constant) const
inline virtual Ciphertext<Element> EvalSub(ConstCiphertext<Element> ciphertext, double constant) const
inline virtual void EvalSubInPlace(Ciphertext<Element> &ciphertext, double constant) const
virtual EvalKey<Element> EvalMultKeyGen(const PrivateKey<Element> privateKey) const

Virtual function to define the interface for generating a evaluation key which is used after each multiplication.

Parameters

  • &ciphertext1 – first input ciphertext.

  • &ciphertext2 – second input ciphertext.

  • &ek – is the evaluation key to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

  • *newCiphertext – the new resulting ciphertext.

virtual std::vector<EvalKey<Element>> EvalMultKeysGen(const PrivateKey<Element> privateKey) const

Virtual function to define the interface for generating a evaluation key which is used after each multiplication for depth more than 2.

Parameters

  • &originalPrivateKey – Original private key used for encryption.

  • *evalMultKeys – the resulting evalution key vector list.

inline virtual Ciphertext<Element> EvalMult(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext.

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

inline virtual Ciphertext<Element> EvalMultMutable(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext. This is the mutable version - input ciphertexts may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

inline virtual Ciphertext<Element> EvalSquare(ConstCiphertext<Element> ciphertext1) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext.

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

inline virtual Ciphertext<Element> EvalSquareMutable(Ciphertext<Element> &ciphertext1) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext. This is the mutable version - input ciphertexts may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext1 – the input ciphertext.

  • ciphertext2 – the input ciphertext.

Returns

the new ciphertext.

virtual Ciphertext<Element> EvalMult(ConstCiphertext<Element> ciphertext, ConstPlaintext plaintext) const

Virtual function to define the interface for multiplication of ciphertext by plaintext.

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

virtual void EvalMultInPlace(Ciphertext<Element> &ciphertext, ConstPlaintext plaintext) const
inline virtual Ciphertext<Element> EvalMultMutable(Ciphertext<Element> &ciphertext, Plaintext plaintext) const

Virtual function to define the interface for multiplication of ciphertext by plaintext. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

inline virtual void EvalMultMutableInPlace(Ciphertext<Element> &ciphertext, Plaintext plaintext) const

Virtual function to define the interface for multiplication of ciphertext by plaintext. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • ciphertext – the input ciphertext.

  • plaintext – the input plaintext.

Returns

the new ciphertext.

inline virtual Ciphertext<Element> MultByMonomial(ConstCiphertext<Element> ciphertext, usint power) const
inline virtual void MultByMonomialInPlace(Ciphertext<Element> &ciphertext, usint power) const
inline virtual Ciphertext<Element> EvalMult(ConstCiphertext<Element> ciphertext, const NativeInteger &constant) const
inline virtual void EvalMultInPlace(Ciphertext<Element> &ciphertext, const NativeInteger &constant) const
inline virtual Ciphertext<Element> EvalMult(ConstCiphertext<Element> ciphertext, double constant) const
inline virtual void EvalMultInPlace(Ciphertext<Element> &ciphertext, double constant) const
inline virtual Ciphertext<DCRTPoly> MultByInteger(ConstCiphertext<DCRTPoly> ciphertext, uint64_t integer) const
inline virtual void MultByIntegerInPlace(Ciphertext<DCRTPoly> &ciphertext, uint64_t integer) const
virtual Ciphertext<Element> EvalMult(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2, const EvalKey<Element> evalKey) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext using the evaluation key.

Parameters

  • &ciphertext1 – first input ciphertext.

  • &ciphertext2 – second input ciphertext.

  • &ek – is the evaluation key to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

Returns

the new ciphertext.

virtual void EvalMultInPlace(Ciphertext<Element> &ciphertext1, ConstCiphertext<Element> ciphertext2, const EvalKey<Element> evalKey) const
virtual Ciphertext<Element> EvalMultMutable(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2, const EvalKey<Element> evalKey) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext using the evaluation key. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • &ciphertext1 – first input ciphertext.

  • &ciphertext2 – second input ciphertext.

  • &ek – is the evaluation key to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

Returns

the new ciphertext.

virtual void EvalMultMutableInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2, const EvalKey<Element> evalKey) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext using the evaluation key. This is the mutable version - input ciphertext may change (automatically rescaled, or towers dropped).

Parameters

  • &ciphertext1 – first input ciphertext.

  • &ciphertext2 – second input ciphertext.

  • &ek – is the evaluation key to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

Returns

the new ciphertext.

virtual Ciphertext<Element> EvalSquare(ConstCiphertext<Element> ciphertext, const EvalKey<Element> evalKey) const
virtual void EvalSquareInPlace(Ciphertext<Element> &ciphertext1, const EvalKey<Element> evalKey) const
virtual Ciphertext<Element> EvalSquareMutable(Ciphertext<Element> &ciphertext, const EvalKey<Element> evalKey) const
virtual Ciphertext<Element> EvalMultAndRelinearize(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2, const std::vector<EvalKey<Element>> &evalKeyVec) const

Virtual function to define the interface for multiplicative homomorphic evaluation of ciphertext using the evaluation key.

Parameters

  • ct1 – first input ciphertext.

  • ct2 – second input ciphertext.

  • ek – is the evaluation key to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

  • *newCiphertext – the new resulting ciphertext.

virtual Ciphertext<Element> Relinearize(ConstCiphertext<Element> ciphertext, const std::vector<EvalKey<Element>> &evalKeyVec) const

Virtual function to do relinearization

Parameters

  • ciphertext – input ciphertext.

  • ek – are the evaluation keys to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

Returns

the new resulting ciphertext.

virtual void RelinearizeInPlace(Ciphertext<Element> &ciphertext, const std::vector<EvalKey<Element>> &evalKeyVec) const

Virtual function to do relinearization

Parameters

  • ciphertext – input ciphertext.

  • ek – are the evaluation keys to make the newCiphertext decryptable by the same secret key as that of ciphertext1 and ciphertext2.

Returns

the new resulting ciphertext.

virtual std::shared_ptr<std::map<usint, EvalKey<Element>>> EvalAutomorphismKeyGen(const PrivateKey<Element> privateKey, const std::vector<usint> &indexList) const

Virtual function to generate automophism keys for a given private key; Uses the private key for encryption

Parameters

  • privateKey – private key.

  • indexList – list of automorphism indices to be computed

Returns

returns the evaluation keys

inline virtual std::shared_ptr<std::map<usint, EvalKey<Element>>> EvalAutomorphismKeyGen(const PublicKey<Element> publicKey, const PrivateKey<Element> privateKey, const std::vector<usint> &indexList) const

Virtual function to generate all isomorphism keys for a given private key

Parameters

  • publicKey – encryption key for the new ciphertext.

  • origPrivateKey – original private key used for decryption.

  • indexList – list of automorphism indices to be computed

Returns

returns the evaluation keys

virtual Ciphertext<Element> EvalAutomorphism(ConstCiphertext<Element> ciphertext, usint i, const std::map<usint, EvalKey<Element>> &evalKeyMap, CALLER_INFO_ARGS_HDR) const

Virtual function for evaluating automorphism of ciphertext at index i

Parameters

  • ciphertext – the input ciphertext.

  • i – automorphism index

  • &evalKeys – - reference to the vector of evaluation keys generated by EvalAutomorphismKeyGen.

Returns

resulting ciphertext

virtual Ciphertext<Element> EvalFastRotation(ConstCiphertext<Element> ciphertext, const usint index, const usint m, const std::shared_ptr<std::vector<Element>> digits) const

Virtual function for the automorphism and key switching step of hoisted automorphisms.

Parameters

  • ct – the input ciphertext to perform the automorphism on

  • index – the index of the rotation. Positive indices correspond to left rotations and negative indices correspond to right rotations.

  • m – is the cyclotomic order

  • digits – the digit decomposition created by EvalFastRotationPrecompute at the precomputation step.

virtual std::shared_ptr<std::vector<Element>> EvalFastRotationPrecompute(ConstCiphertext<Element> ciphertext) const

Virtual function for the precomputation step of hoisted automorphisms.

Parameters

ct – the input ciphertext on which to do the precomputation (digit decomposition)

inline virtual Ciphertext<Element> EvalFastRotationExt(ConstCiphertext<Element> ciphertext, usint index, const std::shared_ptr<std::vector<Element>> expandedCiphertext, bool addFirst, const std::map<usint, EvalKey<Element>> &evalKeys) const
virtual std::shared_ptr<std::map<usint, EvalKey<Element>>> EvalAtIndexKeyGen(const PublicKey<Element> publicKey, const PrivateKey<Element> privateKey, const std::vector<int32_t> &indexList) const

Generates evaluation keys for a list of indices Currently works only for power-of-two and cyclic-group cyclotomics

Parameters

  • publicKey – encryption key for the new ciphertext.

  • origPrivateKey – original private key used for decryption.

  • indexList – list of indices to be computed

Returns

returns the evaluation keys

virtual Ciphertext<Element> EvalAtIndex(ConstCiphertext<Element> ciphertext, int32_t index, const std::map<usint, EvalKey<Element>> &evalKeyMap) const

Moves i-th slot to slot 0

Parameters

  • ciphertext. –

  • i – the index.

  • &evalAtIndexKeys – - reference to the map of evaluation keys generated by EvalAtIndexKeyGen.

Returns

resulting ciphertext

inline virtual usint FindAutomorphismIndex(usint index, usint m) const
inline virtual Ciphertext<Element> ModReduce(ConstCiphertext<Element> ciphertext, size_t levels) const

Method for Modulus Reduction.

Parameters

  • &cipherText – Ciphertext to perform mod reduce on.

  • levels – the number of towers to drop.

inline virtual void ModReduceInPlace(Ciphertext<Element> &ciphertext, size_t levels) const

Method for In-place Modulus Reduction.

Parameters

  • &cipherText – Ciphertext to perform mod reduce on.

  • levels – the number of towers to drop.

virtual Ciphertext<Element> ComposedEvalMult(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2, const EvalKey<Element> evalKey) const

Method for Composed EvalMult

Parameters

  • &cipherText1 – ciphertext1, first input ciphertext to perform multiplication on.

  • &cipherText2 – cipherText2, second input ciphertext to perform multiplication on.

  • &quadKeySwitchHint – is for resultant quadratic secret key after multiplication to the secret key of the particular level.

  • &cipherTextResult – is the resulting ciphertext that can be decrypted with the secret key of the particular level.

virtual Ciphertext<Element> LevelReduce(ConstCiphertext<Element> ciphertext1, const EvalKey<Element> evalKey, size_t levels) const

Method for Level Reduction from sk -> sk1. This method peforms a keyswitch on the ciphertext and then performs a modulus reduction.

Parameters

  • &cipherText1 – is the original ciphertext to be key switched and mod reduced.

  • &linearKeySwitchHint – is the linear key switch hint to perform the key switch operation.

  • &cipherTextResult – is the resulting ciphertext.

inline virtual void LevelReduceInPlace(Ciphertext<Element> &ciphertext1, const EvalKey<Element> evalKey, size_t levels) const

Method for Level Reduction from sk -> sk1. This method peforms a keyswitch on the ciphertext and then performs a modulus reduction.

Parameters

  • &cipherText1 – is the original ciphertext to be key switched and mod reduced.

  • &linearKeySwitchHint – is the linear key switch hint to perform the key switch operation.

  • &cipherTextResult – is the resulting ciphertext.

inline virtual Ciphertext<Element> Compress(ConstCiphertext<Element> ciphertext, size_t towersLeft) const
inline virtual Ciphertext<Element> ModReduceInternal(ConstCiphertext<Element> ciphertext, size_t levels) const

Method for rescaling.

Parameters

  • cipherText – is the ciphertext to perform modreduce on.

  • levels – the number of towers to drop.

Returns

ciphertext after the modulus reduction performed.

inline virtual void ModReduceInternalInPlace(Ciphertext<Element> &ciphertext, size_t levels) const

Method for rescaling in-place.

cipherText will have modulus reduction performed in-place.

Parameters

  • cipherText – is the ciphertext to perform modreduce on.

  • levels – the number of towers to drop.

inline virtual Ciphertext<Element> LevelReduceInternal(ConstCiphertext<Element> ciphertext, size_t levels) const

Method for Level Reduction in the CKKS scheme. It just drops “levels” number of the towers of the ciphertext without changing the underlying plaintext.

Parameters

  • cipherText1 – is the original ciphertext to be level reduced.

  • levels – the number of towers to drop.

Returns

resulting ciphertext.

inline virtual void LevelReduceInternalInPlace(Ciphertext<Element> &ciphertext, size_t levels) const

Method for in-place Level Reduction in the CKKS scheme. It just drops “levels” number of the towers of the ciphertext without changing the underlying plaintext.

Parameters

  • cipherText1 – is the ciphertext to be level reduced in-place

  • levels – the number of towers to drop.

inline virtual void AdjustLevelsInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
inline virtual void AdjustLevelsAndDepthInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
inline virtual void AdjustLevelsAndDepthToOneInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
inline virtual void AdjustForAddOrSubInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
inline virtual void AdjustForMultInPlace(Ciphertext<Element> &ciphertext1, Ciphertext<Element> &ciphertext2) const
virtual Ciphertext<Element> MorphPlaintext(ConstPlaintext plaintext, ConstCiphertext<Element> ciphertext) const

Protected Functions

virtual Ciphertext<Element> EvalAddCore(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const

Internal function for in-place homomorphic addition of ciphertexts. This method does not check whether input ciphertexts are at the same level.

Parameters

  • ciphertext1 – first input/output ciphertext.

  • ciphertext2 – second input ciphertext.

Returns

ciphertext1 contains the result of the homomorphic addition of input ciphertexts.

void EvalAddCoreInPlace(Ciphertext<Element> &ciphertext1, ConstCiphertext<Element> ciphertext2) const

Internal function for in-place homomorphic addition of ciphertexts. This method does not check whether input ciphertexts are at the same level.

Parameters

  • ciphertext1 – first input/output ciphertext.

  • ciphertext2 – second input ciphertext.

Returns

ciphertext1 contains the result of the homomorphic addition of input ciphertexts.

virtual Ciphertext<Element> EvalSubCore(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const
void EvalSubCoreInPlace(Ciphertext<Element> &ciphertext1, ConstCiphertext<Element> ciphertext2) const

Internal function for in-place homomorphic addition of ciphertexts. This method does not check whether input ciphertexts are at the same level.

Parameters

  • ciphertext1 – first input/output ciphertext.

  • ciphertext2 – second input ciphertext.

Returns

ciphertext1 contains the result of the homomorphic addition of input ciphertexts.

Ciphertext<Element> EvalMultCore(ConstCiphertext<Element> ciphertext1, ConstCiphertext<Element> ciphertext2) const

Internal function for homomorphic multiplication of ciphertexts. This method does not check whether input ciphertexts are at the same level.

Parameters

  • ciphertext1 – first input ciphertext.

  • ciphertext2 – second input ciphertext.

Returns

result of homomorphic multiplication of input ciphertexts.

Ciphertext<Element> EvalSquareCore(ConstCiphertext<Element> ciphertext) const
virtual Ciphertext<Element> EvalAddCore(ConstCiphertext<Element> ciphertext, const Element plaintext) const
void EvalAddCoreInPlace(Ciphertext<Element> &ciphertext, const Element plaintext) const
virtual Ciphertext<Element> EvalSubCore(ConstCiphertext<Element> ciphertext1, const Element plaintext) const
void EvalSubCoreInPlace(Ciphertext<Element> &ciphertext1, const Element plaintext) const
Ciphertext<Element> EvalMultCore(ConstCiphertext<Element> ciphertext, const Element plaintext) const
void EvalMultCoreInPlace(Ciphertext<Element> &ciphertext, const Element plaintext) const