c++ openssl库解密问题

Question

服务器给出的是加密后的信息、公模、指数，现在需要解密。
加密后的信息：6F07A0FF53393F619558DBD2E3EE16BC74F009D4661DB49D25A02E900EDAE56A02C142B07408E06C11E66025A42F9875ACF5FA6E5753FA5E3BF322E7284DBF1ADDB1E8F04C6FB3FBF32EA87838A6907E2A0A329B7AA1F3FC238B3B62B73C7C1AF954ED72C840CCBC49EB2538E8EA7A55C8A30A0764E2D95F59DF91D5BA6E7212

模:
93699723240557642714298223752328168207006127117803470313269635629012817131034121107145129394983372480532303750498616664968561285851237790153779524806068201674946146616076995235171678387337669517216870663016805090450941855464370990772124971064613523571889080169553919406043381049541688440844350694063503328143

指数:
52751041223791366488956578170589134293081741094930754240786067048660404059792711481594010927526534797774079972815309832166257796401533019599826805426624527321616158832674775347472860942794678504268163882233141437031764733191695179159757852053450055046188533293005499003752385892369582823636950131897518571777

解密后应为:正常的数字

服务器端代码如下：
public class RSAUtils {

 /** 
 * 生成公钥和私钥 
 * @throws NoSuchAlgorithmException  
 * 
 */  
public static HashMap<String, Object> getKeys() throws NoSuchAlgorithmException{  
    HashMap<String, Object> map = new HashMap<String, Object>();  
    KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance("RSA");  
    keyPairGen.initialize(1024);  
    KeyPair keyPair = keyPairGen.generateKeyPair();  
    RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();  
    RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();  
    map.put("public", publicKey);  
    map.put("private", privateKey);  
    return map;  
}  
/** 
 * 使用模和指数生成RSA公钥 
 * 注意：【此代码用了默认补位方式，为RSA/None/PKCS1Padding，不同JDK默认的补位方式可能不同，如Android默认是RSA 
 * /None/NoPadding】 
 *  
 * @param modulus 
 *            模 
 * @param exponent 
 *            指数 
 * @return 
 */  
public static RSAPublicKey getPublicKey(String modulus, String exponent) {  
    try {  
        BigInteger b1 = new BigInteger(modulus);  
        BigInteger b2 = new BigInteger(exponent);  
        KeyFactory keyFactory = KeyFactory.getInstance("RSA");  
        RSAPublicKeySpec keySpec = new RSAPublicKeySpec(b1, b2);  
        return (RSAPublicKey) keyFactory.generatePublic(keySpec);  
    } catch (Exception e) {  
        e.printStackTrace();  
        return null;  
    }  
}  

/** 
 * 使用模和指数生成RSA私钥 
 * 注意：【此代码用了默认补位方式，为RSA/None/PKCS1Padding，不同JDK默认的补位方式可能不同，如Android默认是RSA 
 * /None/NoPadding】 
 *  
 * @param modulus 
 *            模 
 * @param exponent 
 *            指数 
 * @return 
 */  
public static RSAPrivateKey getPrivateKey(String modulus, String exponent) {  
    try {  
        BigInteger b1 = new BigInteger(modulus);  
        BigInteger b2 = new BigInteger(exponent);  
        KeyFactory keyFactory = KeyFactory.getInstance("RSA");  
        RSAPrivateKeySpec keySpec = new RSAPrivateKeySpec(b1, b2);  
        return (RSAPrivateKey) keyFactory.generatePrivate(keySpec);  
    } catch (Exception e) {  
        e.printStackTrace();  
        return null;  
    }  
}  


/**
 * 公钥加密
 * 
 * @param data
 * @param publicKey
 * @return
 * @throws Exception
 */
public static String encryptByPublicKey(String data, RSAPublicKey publicKey)
        throws Exception {
    Cipher cipher = Cipher.getInstance("RSA");
    cipher.init(Cipher.ENCRYPT_MODE, publicKey);
    // 模长
    int key_len = publicKey.getModulus().bitLength() / 8;
    // 加密数据长度 <= 模长-11
    String[] datas = splitString(data, key_len - 11);
    String mi = "";
    //如果明文长度大于模长-11则要分组加密
    for (String s : datas) {
        mi += bcd2Str(cipher.doFinal(s.getBytes("UTF-8")));
    }
    return mi;
}

/**
 * 私钥解密
 * 
 * @param data
 * @param privateKey
 * @return
 * @throws Exception
 */
public static String decryptByPrivateKey(String data, RSAPrivateKey privateKey)
        throws Exception {
    Cipher cipher = Cipher.getInstance("RSA");
    cipher.init(Cipher.DECRYPT_MODE, privateKey);
    //模长
    int key_len = privateKey.getModulus().bitLength() / 8;
    byte[] bytes = data.getBytes("UTF-8");
    byte[] bcd = ASCII_To_BCD(bytes, bytes.length);
    System.err.println(bcd.length);
    //如果密文长度大于模长则要分组解密
    String ming = "";
    byte[][] arrays = splitArray(bcd, key_len);
    for(byte[] arr : arrays){
        ming += new String(cipher.doFinal(arr));
    }
    return ming;
}

/**
 * ASCII码转BCD码
 * 
 */
public static byte[] ASCII_To_BCD(byte[] ascii, int asc_len) {
    byte[] bcd = new byte[asc_len / 2];
    int j = 0;
    for (int i = 0; i < (asc_len + 1) / 2; i++) {
        bcd[i] = asc_to_bcd(ascii[j++]);
        bcd[i] = (byte) (((j >= asc_len) ? 0x00 : asc_to_bcd(ascii[j++])) + (bcd[i] << 4));
    }
    return bcd;
}
public static byte asc_to_bcd(byte asc) {
    byte bcd;

    if ((asc >= '0') && (asc <= '9'))
        bcd = (byte) (asc - '0');
    else if ((asc >= 'A') && (asc <= 'F'))
        bcd = (byte) (asc - 'A' + 10);
    else if ((asc >= 'a') && (asc <= 'f'))
        bcd = (byte) (asc - 'a' + 10);
    else
        bcd = (byte) (asc - 48);
    return bcd;
}
/**
 * BCD转字符串
 */
public static String bcd2Str(byte[] bytes) {
    char temp[] = new char[bytes.length * 2], val;

    for (int i = 0; i < bytes.length; i++) {
        val = (char) (((bytes[i] & 0xf0) >> 4) & 0x0f);
        temp[i * 2] = (char) (val > 9 ? val + 'A' - 10 : val + '0');

        val = (char) (bytes[i] & 0x0f);
        temp[i * 2 + 1] = (char) (val > 9 ? val + 'A' - 10 : val + '0');
    }
    return new String(temp);
}
/**
 * 拆分字符串
 */
public static String[] splitString(String string, int len) {
    int x = string.length() / len;
    int y = string.length() % len;
    int z = 0;
    if (y != 0) {
        z = 1;
    }
    String[] strings = new String[x + z];
    String str = "";
    for (int i=0; i<x+z; i++) {
        if (i==x+z-1 && y!=0) {
            str = string.substring(i*len, i*len+y);
        }else{
            str = string.substring(i*len, i*len+len);
        }
        strings[i] = str;
    }
    return strings;
}
/**
 *拆分数组 
 */
public static byte[][] splitArray(byte[] data,int len){
    int x = data.length / len;
    int y = data.length % len;
    int z = 0;
    if(y!=0){
        z = 1;
    }
    byte[][] arrays = new byte[x+z][];
    byte[] arr;
    for(int i=0; i<x+z; i++){
        arr = new byte[len];
        if(i==x+z-1 && y!=0){
            System.arraycopy(data, i*len, arr, 0, y);
        }else{
            System.arraycopy(data, i*len, arr, 0, len);
        }
        arrays[i] = arr;
    }
    return arrays;
}

public static void main(String[] args) throws Exception {  
    //加密
    String sysRsaPublicExponent      =  "65537"; //sys 公钥指数
    String sysRsaModulus             =  "120638465331515039018602766102898243545817108824248108758756045538044335002008114706331728819795590465631377302362547268746636029891250" +
            "449814559223888056676854984963129330873452309930246829596744979895825527218697094609496436664015271970577401170500785252151278453045409127914743768611747170785074707487690419"; //sys 模
    RSAPublicKey publickey =  RSAUtils.getPublicKey(sysRsaModulus, sysRsaPublicExponent);
    String msg = RSAUtils.encryptByPublicKey("公钥加密",publickey);
    System.out.println("加密后："+msg);

    //解密
    String sysRsaPrivateExponent         =  "69691507048707743370070353001445404895625917269420837047873779453901742880754798400624368724803714772247798108968155997295384898479984467247191849129527212787744749050" +
            "17092964178282019340128383046059793475544308917861326270601739489293981014213604544197641773445405470949453568565300025014058699812509971313"; //sys 私钥指数
    RSAPrivateKey privateKey =  RSAUtils.getPrivateKey(sysRsaModulus, sysRsaPrivateExponent);
    msg = RSAUtils.decryptByPrivateKey(msg,privateKey);
    System.out.println("解密后："+msg);

}  

}

Answer 1

解密失败了?
加密后的信息、公模、指数，是字符串类型吗，怀疑是BYTE数组等