给定公共指数和模数的RSA签名验证

时间:2012-06-26 01:59:11

标签: java rsa digital-signature

尝试使用Sun JCE编写来自CAVP程序的测试向量的签名验证。

我给出了公钥指数,模数,以及消息和签名。我做了以下事情:

    private static boolean verifySignature(String algo, PrintStream oPS, byte[] message, byte[] modulus, byte[] exponent, byte[] sigBytes, int saltlen)  throws Exception
    {
            Signature sig = Signature.getInstance(algo);
            KeyFactory keyMaker = KeyFactory.getInstance("RSA");
            RSAPublicKeySpec pubKeySpec = new RSAPublicKeySpec(
                            new BigInteger(modulus),
                            new BigInteger(exponent));

            RSAPublicKey pubKey = (RSAPublicKey)keyMaker.generatePublic(pubKeySpec);

            System.out.println("algorithm is " + algo);
            sig.initVerify(pubKey);
            Utils.outputValue("n", modulus, modulus.length, System.out, false);
            Utils.outputValue("e", exponent, exponent.length, System.out, false);
            Utils.outputValue("Msg", message, message.length, System.out, false);
            Utils.outputValue("S", sigBytes, sigBytes.length, System.out, false);
            BigInteger Nvalue = pubKey.getPublicExponent();
            Utils.outputValue("key value of n", Nvalue.toByteArray(), System.out, false);
            BigInteger Evalue=pubKey.getModulus();
            Utils.outputValue("key value of e", Evalue.toByteArray(), System.out, false);
            sig.update(message);
            if(sig.verify(sigBytes))
                    oPS.println("Result = P");
            else
                    oPS.println("Result = F");

。 。

算法类似于“SHA1withRSA”,我构建了如图所示的公钥。当我从密钥本身列出结果模数和指数时,它们就会反转。

N = 009de541c71a95389d9e8619ea1d6e2c69ed6c703701e518351676022ab98395d6b35a38b024f92bce6dd1c5be9d51dffd1687d19dceee73f2c73e4436b955231255f6e3e360ba84462311e10e65932fe069bed2d42c5bf2f88141828bdad3796184870cb8cf3019da264e56b39eccf7224d43a1b98d788b40a4042aac790e946f E = 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 消息= 64b13df4b008ccccd5ce146018481c2568bbe2b93ec658d1c7f4ad734592cd65b3be2be5a7c1be9a7d9f49cbb2ece0cf8ee0a8c406aede84e0121bd51829d6e083862ae5b282d92c19d3923f70616f565a55c2134572116f91a85ff5f4e6ad2e1d31c15c97f3266af19574241c4fd2a4143fb80cc2b9fa7b22df0239a1715c35 S = 5b4458f6aeff91c4699ee9bdf8757987fb8db229814a2992945ac53bcf19b9179e53cfed258726d205107ac000d41e570fe8c4fb321fc9b4b5469c60cd20032195f314ba6e6b0b30a51c9834242daa1ce525ec90380106568e782ea164baeda5d884defe6e720e9dd63618b823412445e17f991a6daa21bd62bdc73d7d8a20e5 键值n = 03 电子商务密钥值= 009de541c71a95389d9e8619ea1d6e2c69ed6c703701e518351676022ab98395d6b35a38b024f92bce6dd1c5be9d51dffd1687d19dceee73f2c73e4436b955231255f6e3e360ba84462311e10e65932fe069bed2d42c5bf2f88141828bdad3796184870cb8cf3019da264e56b39eccf7224d43a1b98d788b40a4042aac790e946f

其中一些测试应该会失败,但有些测试应该会成功。没有正确验证......有什么想法?谢谢。

下面是申请,然后是一组样本输入。

package cavp.rsa;


import cavp.*;

import java.io.*;

import java.security.KeyFactory;
import java.security.SecureRandom;
import java.security.Signature;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.RSAPublicKeySpec;
import java.security.PublicKey;

import java.util.Date;

import java.math.BigInteger;

public class RSASigVerify
{
        private static boolean verboseFlag=false;

        public static void main(String[] args) throws Exception
        {
                String requestFile;
                String responseFile;

                int saltLen=-1;
                int argstart=0;

                if(args.length < 2)
                        throw new Exception("missing parameters");
                if(args.length == 3) {
                        if(args[0].equals("-saltlen")) {
                                saltLen=Integer.parseInt(args[1]);
                                if(saltLen < 0)
                                        throw new Exception("bad -saltlen parameter ");
                                argstart=2;
                        } else {
                                if(args[0].equals("-x931")) {
                                        saltLen=-2;
                                        argstart=1;
                                }
                } else {
                        if(args.length > 3)
                                throw new Exception("invalid invocation");
                }
                requestFile=args[argstart];
                responseFile=args[argstart+1];
                if(processFile(requestFile, responseFile, saltLen))
                        System.out.println("Failed to process file " + requestFile);
                else
                        System.out.println("Processing complete for " + requestFile);
        }

        private static boolean processFile(String rqfn, String rspfn, int saltLen) throws Exception
        {
                File inFile = new File(rqfn), outFile = new File(rspfn);

                if(!inFile.exists() || !inFile.isFile() || !inFile.canRead()) {
                        System.out.println("Bad input File " + rqfn);
                        return true;
                }
                FileReader inFR = new FileReader(inFile);
                BufferedReader inBR = new BufferedReader(inFR);
                PrintStream outPS = new PrintStream(outFile);

                String input, keyword, value, digestType=null;
                int p, v, q, i, lnum=0;
                byte[] Msg=null, nBytes=null, eBytes=null, sigBytes=null;
                boolean msgFound=false, nFound=false, eFound=false, sigFound=false;


                try {
                        while((input = inBR.readLine()) != null ) {
                                lnum++;
                                if((p = input.indexOf('=')) < 0) {
                                        outPS.println(input);
                                        continue;
                                }
                                if(input.charAt(p-1) == ' ')
                                        keyword=input.substring(0,p-1);
                                else
                                        keyword=input.substring(0, p);
                                p++;
                                for(i=p; i<input.length(); i++) {
                                        if(input.charAt(i) == ' ')
                                                p++;
                                        else
                                                break;
                                }
                                if((v = input.indexOf('\n')) > 0) {
                                        for(q=v-1; q>p+1; q--) {
                                                if(input.charAt(q) != ' ')
                                                        break;
                                        }
                                } else {
                                        if((v = input.indexOf(' ', p)) > 0) {
                                                q=v-1;
                                        } else {
                                                q=input.length();
                                        }
                                }

                                value=input.substring(p,q);
                                if(keyword.indexOf("n") >= 0) {
                                        nBytes=Utils.hexStringToByteArray(value);
                                        if(nBytes.length <= 0) {
                                                System.out.println("bad value for modulus");
                                                return true;
                                        }
                                        nFound=true;
                                } else {
                                        if(keyword.equals("e")) {
                                                eBytes=Utils.hexStringToByteArray(value);
                                                if(eBytes.length <= 0) {
                                                        System.out.println("bad value for private exponent");
                                                        return true;
                                                }
                                                eFound=true;

                                        } else {
                                                if(keyword.equals("SHAAlg")) {
                                                        if(!value.equals("SHA1") && !value.equals("SHA224") && !value.equals("SHA256") && !value.equals("SHA384") &&
                                                                        !value.equals("SHA512")) {
                                                                System.out.println("Bad SHAAlg parameter " + input);
                                                                return true;
                                                        }
                                                        digestType=value + "withRSA";
                                                } else {
                                                        if(keyword.equals("Msg")) {
                                                                if(msgFound) {
                                                                        System.out.println("more than one Msg found");
                                                                        return true;
                                                                } else
                                                                        msgFound=true;
                                                                String tempMsg;
                                                                if((value.length() & 0x01) != 0)  {
                                                                        tempMsg="0" + value;
                                                                } else {
                                                                        tempMsg=value;
                                                                }
                                                                Msg=Utils.hexStringToByteArray(tempMsg);
                                                                if(Msg.length <= 0) {
                                                                        System.out.println("bad Msg parameter");
                                                                        return true;
                                                                }
                                                        } else {
                                                                if(keyword.equals("S")) {
                                                                        sigBytes=Utils.hexStringToByteArray(value);
                                                                        if(sigBytes.length <= 0) {
                                                                                System.out.println("bad signature parameter");
                                                                                return true;
                                                                        }
                                                                        sigFound=true;
                                                                } else {
                                                                        if(keyword.equals("Result")) {
                                                                                continue;
                                                                        }
                                                                }
                                                        }
                                                }


                                        }
                                }
                                outPS.println(input);
                                if(digestType != null && msgFound && nFound && eFound && sigFound) {
                                        if(verifySignature(digestType, outPS, Msg, nBytes, eBytes, sigBytes, saltLen)) {
                                                throw new Exception("error in digest generator");
                                        }
                                        msgFound=false;
                                        eFound=false;
                                        sigFound=false;
                                }
                        }
                } catch( FileNotFoundException e) {
                        System.out.println("error processing file");
                }
                inFR.close();
                outPS.close();
                return false;
        }

        private static boolean verifySignature(String algo, PrintStream oPS, byte[] message, byte[] modulus, byte[] exponent, byte[] sigBytes, int saltlen)  throws Exception
        {
                // yet to implement saltLen == -2 for X9.31 padding
                //                  saltLen >= 0 for PSS Signatures

                Signature sig = Signature.getInstance(algo);
                KeyFactory keyMaker = KeyFactory.getInstance("RSA");
                RSAPublicKeySpec pubKeySpec = new RSAPublicKeySpec(
                                new BigInteger(modulus),
                                new BigInteger(exponent));


                RSAPublicKey pubKey = (RSAPublicKey)keyMaker.generatePublic(pubKeySpec);

                System.out.println("algorithm is " + algo);
                sig.initVerify(pubKey);
                sig.update(message);
                if(sig.verify(sigBytes))
                        oPS.println("Result = P");
                else
                        oPS.println("Result = F");
                return false;
        }
}

以下是输入中的一个向量:

# CAVS 11.5
# "SigVer PKCS#1 Ver 1.5" information for
# Mod sizes selected: 1024 2048
# SHA Algorithm selected:SHA1 SHA256
# Generated on Mon Nov 28 14:03:58 2011
[mod = 1024]
n = 9de541c71a95389d9e8619ea1d6e2c69ed6c703701e518351676022ab98395d6b35a38b024f92bce6dd1c5be9d>51dffd1687d19dceee73f2c73e4436b955231255f6e3e360ba84462311e10e65932fe069bed2d42c5bf2f88141>828bdad3796184870cb8cf3019da264e56b39eccf7224d43a1b98d788b40a4042aac790e946f
SHAAlg = SHA1
e = 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000>000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000>0000000000000000000000000000000000000000000000000000000000000000000000000003
Msg = 64b13df4b008ccccd5ce146018481c2568bbe2b93ec658d1c7f4ad734592cd65b3be2be5a7c1be9a7d9f49cbb2>ece0cf8ee0a8c406aede84e0121bd51829d6e083862ae5b282d92c19d3923f70616f565a55c2134572116f91a8>5ff5f4e6ad2e1d31c15c97f3266af19574241c4fd2a4143fb80cc2b9fa7b22df0239a1715c35
S = 5b4458f6aeff91c4699ee9bdf8757987fb8db229814a2992945ac53bcf19b9179e53cfed258726d205107ac000>d41e570fe8c4fb321fc9b4b5469c60cd20032195f314ba6e6b0b30a51c9834242daa1ce525ec90380106568e78>2ea164baeda5d884defe6e720e9dd63618b823412445e17f991a6daa21bd62bdc73d7d8a20e5*

这是一个传递文件:

# CAVS 11.5
# "SigVer PKCS#1 Ver 1.5" information for 
# Mod sizes selected: 1024 2048
# SHA Algorithm selected:SHA1 SHA256
# Generated on Mon Nov 28 14:03:58 2011

[mod = 1024]

n = 9de541c71a95389d9e8619ea1d6e2c69ed6c703701e518351676022ab98395d6b35a38b024f92bce6dd1c5be9d51dffd1687d19dceee73f2c73e4436b955231255f6e3e360ba84462311e10e65932fe069bed2d42c5bf2f88141828bdad3796184870cb8cf3019da264e56b39eccf7224d43a1b98d788b40a4042aac790e946f

SHAAlg = SHA1
e = 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011
Msg = fe196459e8232a9f94e8c93d88ddae7d38be7a10e2dd03ffb7bb9be43bd59659eec006b12c78c9e652f6c6d3220073a369459b8adea95eb34ede7979f634c7d931b208275365e201d4f82582b18553b70fab605721e1b6ae4d097cdb8a49183b0d16f22524917bd862176fb1fc1357a2731751df732c13dafc662e72bfbb9067
S = 94af4ce7f323d1bf4904a673d2884e30a55a108c44e4eb2bfc0a0f061f46fefe23fe74c760e947bd1fbf1bb1a30d66b3d7dccfb425d3a6551dd444f90d4f06c3e0da6dc3c7a45e062b08d24553f0091acae47ffaae495e13da66308dd9e0be87e2b960ab823f83e55815b66a1076ab238cc3883cbf7312521d0988214bb07d96

2 个答案:

答案 0 :(得分:3)

我已经更新了我的答案。当我说你的样本不起作用时我不正确,因为签名和消息一样长。事实上,由于RSA加密发生在SHA-1计算之后,最终签名可以达到 n 字节长,其中 n 是模数{{1}的大小}。

所以,据我所知,你可能根本没有问题。你确定你发布的样本是一个积极的案例吗?如果是,您确定它是使用N算法创建的吗?

下面我根据您的代码添加了示例Groovy代码。代码基本上创建一个签名并验证它。我从this网站获得了公钥和私钥对,但任何密钥对都可以使用。代码是自我解释的,所以我只是总结一下签名是如何工作的,如果您想使用随机密钥对和消息进行测试和验证。

  1. 在消息 m 上计算哈希码 h 。在这种情况下是h = SHA-1(m)
  2. 通过使用私钥 d 对其进行签名/加密,在哈希码 h 上计算签名 s
  3. 通过使用公钥 e 验证/解密签名验证签名 s ,并检查该值是否等于 m 的哈希码。
  4. 如您所见,上述步骤可以使用简单的RSA计算工具执行。我已经检查了我的代码中提供的示例是否正确。关于我发现有趣的事情是,如果模数为负数(第1位设置为2的补码),Java会抛出SHA1withRSA异常,所以我不得不在左边追加1个字节的零。

    javax.crypto.BadPaddingException: Message is larger than modulus

答案 1 :(得分:0)

您的代码说:

BigInteger Nvalue = pubKey.getPublicExponent();

N是键模数,不是公共指数。您的文字标签和可变内容不匹配。

您的签名验证问题可能是其他问题。您收到错误消息,或verify()方法只返回false

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