RSA Encryption in .NET - Decryption in JAVA & # 8594; Java gives an error "module is not positive"

Question

I'm having problems with our third-party vendor affecting sso. When checking my signature, they get the following error:

java.lang.ArithmeticException: BigInteger: module is not positive - on java.math.BigInteger.modPow (BigInteger.java:1556)

I can not control my Java code. Here is what I am doing now:

I created a key pair in C # using this code:

        CspParameters csp = new CspParameters();
        csp.KeyNumber = (int)KeyNumber.Signature;
        using (RSACryptoServiceProvider rsa = new RSACryptoServiceProvider(1024, csp))
        {

            File.AppendAllText(path + "PrivateKey.xml", rsa.ToXmlString(true));
            File.AppendAllText(path + "PublicKey.xml", rsa.ToXmlString(false));
        }

Here is the code to sign:

public string MD5withRSASignature(string encryptedStringToSign)
    {

        byte[] signature;
        using (RSACryptoServiceProvider rsa = new RSACryptoServiceProvider(1024))
        {
            XmlDocument xDoc = new XmlDocument();
            xDoc.Load(PRIVATE_KEY_PATH);
            rsa.FromXmlString(xDoc.OuterXml);
            byte[] bytes = Encoding.UTF8.GetBytes(encryptedStringToSign);
            signature = rsa.SignData(bytes, new MD5CryptoServiceProvider());
        }

        return Convert.ToBase64String(signature);
    }

(Yes, I know that the private key must be in the keystore).

Here is the code they use to convert xml keys (this is Java)

private static RSAPublicKey ReadXMLKey(String fileName)
{

        DocumentBuilderFactory factory =     DocumentBuilderFactory.newInstance();
        DocumentBuilder builder = factory.newDocumentBuilder();
        Document document = builder.parse( new File(fileName) );
        byte[] modBytes = GetBytesFromElement(document, "Modulus");
        byte[] expBytes = GetBytesFromElement(document, "Exponent");
        RSAPublicKeySpec rsaKeyspec = new RSAPublicKeySpec(new BigInteger(modBytes), new BigInteger(expBytes));
        RSAPublicKey key = (RSAPublicKey)KeyFactory.getInstance("RSA").generatePublic(rsaKeyspec);

        return key;
         }

private static byte[] GetBytesFromElement(Document doc, String tag) throws IOException
{
    BASE64Decoder decoder = new BASE64Decoder();
    NodeList list = doc.getElementsByTagName(tag);
    byte[] results = null;
    if (list.getLength() == 1)
    {
        Element item = (Element)list.item(0);
        Text text = (Text)item.getFirstChild();
        results = decoder.decodeBuffer(text.getNodeValue().trim());
    }
    return results;
}

Answer 1

RSA, Java. . Java , ?

, , , , , . , BigInteger , . ASN.1, DER. , b , .. 128 <= b < 256, , . ; , .