同态加密：使用PALISADE库进行矩阵向量乘法

下面是一个使用PALISADE库进行矩阵向量乘法的示例代码：

#include <iostream>
#include <vector>

#include "cryptocontext.h"
#include "cryptocontextgen.h"
#include "utils/serializablehelper.h"
#include "palisade.h"

using namespace lbcrypto;

int main() {
    // 创建加密参数
    CryptoContext<DCRTPoly> cryptoContext = CryptoContextFactory<DCRTPoly>::genCryptoContextBFVrns(8192, 1032193, 2, 30, 60, 6);

    // 生成密钥对
    LPKeyPair<DCRTPoly> keyPair = cryptoContext->KeyGen();

    // 生成矩阵和向量
    int numRows = 2;
    int numCols = 2;

    std::vector<std::vector<int>> matrix = {{1, 2}, {3, 4}};
    std::vector<int> vector = {5, 6};

    // 将矩阵和向量转换为多项式
    std::vector<DCRTPoly> matrixPoly(numRows);
    for (int i = 0; i < numRows; i++) {
        matrixPoly[i] = DCRTPoly(cryptoContext->GetCryptoParameters()->GetElementParams(), Format::COEFFICIENT);
        matrixPoly[i].SetValues(matrix[i]);
    }

    DCRTPoly vectorPoly(cryptoContext->GetCryptoParameters()->GetElementParams(), Format::COEFFICIENT);
    vectorPoly.SetValues(vector);

    // 加密矩阵和向量
    std::vector<Ciphertext<DCRTPoly>> encryptedMatrix(numRows);
    for (int i = 0; i < numRows; i++) {
        encryptedMatrix[i] = cryptoContext->Encrypt(keyPair.publicKey, matrixPoly[i]);
    }

    Ciphertext<DCRTPoly> encryptedVector = cryptoContext->Encrypt(keyPair.publicKey, vectorPoly);

    // 执行矩阵向量乘法
    std::vector<Ciphertext<DCRTPoly>> product(numRows);
    for (int i = 0; i < numRows; i++) {
        product[i] = cryptoContext->EvalMult(encryptedMatrix[i], encryptedVector);
    }

    // 解密结果
    std::vector<DCRTPoly> decryptedProduct(numRows);
    for (int i = 0; i < numRows; i++) {
        decryptedProduct[i] = cryptoContext->Decrypt(keyPair.secretKey, product[i]);
    }

    // 打印结果
    for (int i = 0; i < numRows; i++) {
        std::cout << "Decrypted product[" << i << "]: " << decryptedProduct[i].GetValues()[0] << std::endl;
    }

    return 0;
}

请确保已正确安装和配置PALISADE库，并将示例代码编译并运行。它将执行矩阵向量乘法，将结果解密并打印出来。