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Several parts of the key generation were actually encrypting polynomials and integers into vector ciphertexts, thus, now they just call the new function enc_ngs. As a result, the key generation code is simpler to understand. Morevoer, future applications may want to generate vector ciphertexts, thus, the function enc_ngs is interesting on its own.
146 lines
4.7 KiB
C++
146 lines
4.7 KiB
C++
#ifndef KEYGEN
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#define KEYGEN
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#include <NTL/mat_ZZ.h>
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#include <vector>
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#include <fftw3.h>
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#include <complex>
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#include "params.h"
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#include "sampler.h"
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// secret key of the bootstrapping scheme
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typedef struct {
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ModQPoly sk;
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ModQPoly sk_inv;
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} SKey_boot;
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// secret key of the NTRU base scheme
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typedef struct {
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ModQMatrix sk;
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ModQMatrix sk_inv;
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} SKey_base_NTRU;
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// secret key of the LWE base scheme
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typedef std::vector<int> SKey_base_LWE;
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/**
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* Bootstrapping key.
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* It consists of several sets of keys corresponding to different
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* decomposition bases of the bootstrapping key B_bsk.
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* The i-th set contains vectors with l_bsk[i] complex vectors.
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* These complex vectors are an encryption of some bit of the secret key
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* of the base scheme in the NGS form.
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*/
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typedef std::vector<std::vector<std::vector<NGSFFTctxt>>> BSKey_NTRU;
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/**
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* Bootstrapping key.
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* It consists of several sets of keys corresponding to different
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* decomposition bases of the bootstrapping key B_bsk.
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* The i-th set contains vectors with l_bsk[i] complex vectors.
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* These complex vectors are an encryption of some bit of the secret key
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* of the base scheme in the NGS form.
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*/
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typedef std::vector<std::vector<NGSFFTctxt>> BSKey_LWE;
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// key-switching key from NTRU to NTRU
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typedef ModQMatrix KSKey_NTRU;
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// key-switching key from NTRU to LWE
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typedef struct{
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ModQMatrix A;
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std::vector<int> b;
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} KSKey_LWE;
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class KeyGen
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{
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Param param;
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Sampler sampler;
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public:
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KeyGen(Param _param): param(_param), sampler(_param)
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{}
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/**
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* Generate a secret key of the bootstrapping scheme.
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* @param[out] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_sk_boot(SKey_boot& sk_boot);
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/**
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* Generate a secret key of the base scheme.
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* @param[out] sk_base secret key of the base scheme.
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*/
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void get_sk_base(SKey_base_NTRU& sk_base);
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/**
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* Generate a secret key of the base scheme.
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* @param[out] sk_base secret key of the base scheme.
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*/
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void get_sk_base(SKey_base_LWE& sk_base);
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/**
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* Generate a key-switching key from the bootstrapping scheme to the base scheme.
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* @param[out] ksk key-switching key.
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* @param[in] sk_base secret key of the base scheme.
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* @param[in] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_ksk(KSKey_NTRU& ksk, const SKey_base_NTRU& sk_base, const SKey_boot& sk_boot);
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/**
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* Generate a key-switching key from the bootstrapping scheme to the base scheme.
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* @param[out] ksk key-switching key.
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* @param[in] sk_base secret key of the base scheme.
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* @param[in] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_ksk(KSKey_LWE& ksk, const SKey_base_LWE& sk_base, const SKey_boot& sk_boot);
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/**
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* Generate a bootstrapping key
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* @param[out] bsk bootstrapping key.
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* @param[in] sk_base secret key of the base scheme.
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* @param[in] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_bsk(BSKey_NTRU& bsk, const SKey_base_NTRU& sk_base, const SKey_boot& sk_boot);
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/**
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* Generate a bootstrapping key
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* @param[out] bsk bootstrapping key.
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* @param[in] sk_base secret key of the base scheme.
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* @param[in] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_bsk(BSKey_LWE& bsk, const SKey_base_LWE& sk_base, const SKey_boot& sk_boot);
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/**
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* Generate a bootstrapping key (EXPERIMENTAL)
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* @param[out] bsk bootstrapping key.
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* @param[in] sk_base secret key of the base scheme.
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* @param[in] sk_boot secret key of the bootstrapping scheme.
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*/
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void get_bsk2(BSKey_LWE& bsk, const SKey_base_LWE& sk_base, const SKey_boot& sk_boot);
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};
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/**
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* Encrypts a polynomial into a vector ciphertext under the NTRU problem.
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* @param[out] ct ciphertext encrypting the input
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* @param[in] m polynomial to encrypt
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* @param[in] l dimension of the vector ciphertext
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* @param[in] B base used in the gadget vector
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* @param[in] sk_boot contains f and f^-1
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**/
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void enc_ngs(NGSFFTctxt& ct, const ModQPoly& m, int l, int B, const SKey_boot& sk_boot);
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/**
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* Encrypts an integer into a vector ciphertext under the NTRU problem.
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* @param[out] ct ciphertext encrypting the input
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* @param[in] m integer to encrypt (it is treated as a degree-0 polynomial)
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* @param[in] l dimension of the vector ciphertext
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* @param[in] B base used in the gadget vector
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* @param[in] sk_boot contains f and f^-1
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**/
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void enc_ngs(NGSFFTctxt& ct, int m, int l, int B, const SKey_boot& sk_boot);
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#endif
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