将RSA加密从Java转换为PHP

Question

我正在尝试登录一个网站（Steam），该网站使用Javascript RSA加密明文密码，以将POST请求中的密文作为参数发送。 我无法正确将Javascript RSA从Javascript转换为PHP。

当我尝试将用任何PHP脚本创建的密文密码发送到网站时，我得到的登录名不正确，表明加密过程中某处存在错误。

从浏览器发送实际请求并使用Fiddler记录请求时，模数的位长始终与密文的位长相同。 这也可以从Javascript函数pkcs1pad2推导出来。 这是我尝试检查加密是否正确时要寻找的标准之一。

与使用pkcs1时，使用相同的公钥和纯文本不一定会产生相同的密文，而是将随机字节填充到纯文本的开头，直到长度与模数相同为止。 因此，无法与通过浏览器获得的正确密文进行比较。

Javascript的modPowInt（$ exponent，$ modulus）和PHP的modPow（$ exponent，$ modulus）会执行不同的计算吗，因为PHP RSA（2）虽然看起来和Javascript RSA完全一样，但不能工作吗？

Javascript RSA-需要转换为PHP的内容

var RSAPublicKey = function($modulus_hex, $encryptionExponent_hex) {
    this.modulus = new BigInteger( $modulus_hex, 16);
    this.encryptionExponent = new BigInteger( $encryptionExponent_hex, 16);
};

var Base64 = {
    base64: "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=",
    encode: function($input) {
        if (!$input) {
            return false;
        }
        var $output = "";
        var $chr1, $chr2, $chr3;
        var $enc1, $enc2, $enc3, $enc4;
        var $i = 0;
        do {
            $chr1 = $input.charCodeAt($i++);
            $chr2 = $input.charCodeAt($i++);
            $chr3 = $input.charCodeAt($i++);
            $enc1 = $chr1 >> 2;
            $enc2 = (($chr1 & 3) << 4) | ($chr2 >> 4);
            $enc3 = (($chr2 & 15) << 2) | ($chr3 >> 6);
            $enc4 = $chr3 & 63;
            if (isNaN($chr2)) $enc3 = $enc4 = 64;
            else if (isNaN($chr3)) $enc4 = 64;
            $output += this.base64.charAt($enc1) + this.base64.charAt($enc2) + this.base64.charAt($enc3) + this.base64.charAt($enc4);
        } while ($i < $input.length);
        return $output;
    },
    decode: function($input) {
        if(!$input) return false;
        $input = $input.replace(/[^A-Za-z0-9\+\/\=]/g, "");
        var $output = "";
        var $enc1, $enc2, $enc3, $enc4;
        var $i = 0;
        do {
            $enc1 = this.base64.indexOf($input.charAt($i++));
            $enc2 = this.base64.indexOf($input.charAt($i++));
            $enc3 = this.base64.indexOf($input.charAt($i++));
            $enc4 = this.base64.indexOf($input.charAt($i++));
            $output += String.fromCharCode(($enc1 << 2) | ($enc2 >> 4));
            if ($enc3 != 64) $output += String.fromCharCode((($enc2 & 15) << 4) | ($enc3 >> 2));
            if ($enc4 != 64) $output += String.fromCharCode((($enc3 & 3) << 6) | $enc4);
        } while ($i < $input.length);
        return $output;
    }
};

var Hex = {
    hex: "0123456789abcdef",
    encode: function($input) {
        if(!$input) return false;
        var $output = "";
        var $k;
        var $i = 0;
        do {
            $k = $input.charCodeAt($i++);
            $output += this.hex.charAt(($k >> 4) &0xf) + this.hex.charAt($k & 0xf);
        } while ($i < $input.length);
        return $output;
    },
    decode: function($input) {
        if(!$input) return false;
        $input = $input.replace(/[^0-9abcdef]/g, "");
        var $output = "";
        var $i = 0;
        do {
            $output += String.fromCharCode(((this.hex.indexOf($input.charAt($i++)) << 4) & 0xf0) | (this.hex.indexOf($input.charAt($i++)) & 0xf));
        } while ($i < $input.length);
        return $output;
    }
};

var RSA = {

    getPublicKey: function( $modulus_hex, $exponent_hex ) {
        return new RSAPublicKey( $modulus_hex, $exponent_hex );
    },

    encrypt: function($data, $pubkey) {
        if (!$pubkey) return false;
        $data = this.pkcs1pad2($data,($pubkey.modulus.bitLength()+7)>>3);
        if(!$data) return false;
        $data = $data.modPowInt($pubkey.encryptionExponent, $pubkey.modulus);
        if(!$data) return false;
        $data = $data.toString(16);
        if(($data.length & 1) == 1)
            $data = "0" + $data;
        return Base64.encode(Hex.decode($data));
    },

    pkcs1pad2: function($data, $keysize) {
        if($keysize < $data.length + 11)
            return null;
        var $buffer = [];
        var $i = $data.length - 1;
        while($i >= 0 && $keysize > 0)
            $buffer[--$keysize] = $data.charCodeAt($i--);
        $buffer[--$keysize] = 0;
        while($keysize > 2)
            $buffer[--$keysize] = Math.floor(Math.random()*254) + 1;
        $buffer[--$keysize] = 2;
        $buffer[--$keysize] = 0;
        return new BigInteger($buffer);
    }
};

PHP RSA（1）这是我最初尝试解决加密问题。 密文的位长与模数（2048）一致。但是，密文导致登录错误。

include 'phpseclib/Math/BigInteger.php';
include 'phpseclib/Crypt/RSA.php';

function encrypt($data, $mod, $exp)
{
    $rsa = new Crypt_RSA();
    $rsa->setEncryptionMode(CRYPT_RSA_ENCRYPTION_PKCS1);
    $rsa->publicExponent = new Math_BigInteger($exp, 16);
    $rsa->modulus = new Math_BigInteger($mod, 16);
    $rsa->publicKeyFormat = CRYPT_RSA_PUBLIC_FORMAT_PKCS1;
    $rsa->loadKey($rsa->getPublicKey());
    return urlencode(base64_encode($rsa->encrypt($data)));
}

PHP RSA（2）我试图将Javascript RSA脚本转换为PHP。 位长与模数不一致（2472而不是2048）

include 'phpseclib/Math/BigInteger.php';
include 'phpseclib/Crypt/RSA.php';

function encrypt($data, $mod, $exp){
    $mod = new Math_BigInteger($mod,16);
    $exp = new Math_BigInteger($exp,16);
    if($exp == null || $mod == null) return false;
    $data = pkcs1pad2($data, (strlen($mod->toBits())+7)>>3);
    if($data == null) return false;
    $data = $data->modPow($exp,$mod);
    if($data == null) return false;
    $data = $data->toString();
    if((strlen($data) & 1) == 1)
        $data = "0" . $data;
    return urlencode(base64_encode(hex2bin($data)));
}

function pkcs1pad2($data, $keysize){
    if($keysize < strlen($data) + 11)
        return null;
    $buffer = array();
    $i = strlen($data)-1;
    while($i >= 0 && $keysize > 0)
        $buffer[--$keysize] = $data[$i--];
    $buffer[--$keysize] = 0;
    while($keysize > 2)
        $buffer[--$keysize] = rand(0,255);
    $buffer[--$keysize] = 2;
    $buffer[--$keysize] = 0;
    return new Math_BigInteger(bin2hex(implode('',$buffer)), 16);
}

PHP RSA（3）这是我代码的最终迭代。 我尝试填充丢失的位，以使位长度与模数（2048）相同，并成功。 但是，该网站仍然认为密文密码不正确。

include('Crypt/RSA.php');
include('Math/BigInteger.php');

function hex_to_binary($hex) {
    $binary = '';
    for ($i = 0; $i < strlen($hex); $i += 2) {
        $hexChunk = substr($hex, $i, 2);
        $intChunk = hexdec($hexChunk);
        $binaryChunk = decbin($intChunk);
        $binaryChunk = str_pad($binaryChunk, 8, '0', STR_PAD_LEFT);
        $binary .= $binaryChunk;
    }
    return $binary;
}

function bytes_to_binary($bytes) {
    $binary = '';
    foreach($bytes as $integer) {
        $byte = decbin($integer);
        $byte = str_pad($byte, 8, '0', STR_PAD_LEFT);
        $binary .= $byte;
    }
    return $binary;
}

function binary_to_text($binary) {
    $text = '';
    $binaryLength = strlen($binary);
    for ($i = 0; $i < $binaryLength; $i += 8) {
        $binaryChunk = substr($binary, $i, 8);
        $characterCode = bindec($binaryChunk);
        $character = chr($characterCode);
        $text .= $character;
    }
    return $text;
}

function getPublicKey($modulusHex, $exponentHex) {
    $publicKey = Array(
        'modulus' => $modulusHex,
        'exponent' => $exponentHex
    );
    return $publicKey;
}

function pkcs1pad2($data, $publicKey) {
    // Convert Modulus from Hex to Binary
    $modulusBinary = hex_to_binary($publicKey['modulus']);
    // Get Bytes of Modulus
    $modulusInteger = new Math_BigInteger($modulusBinary, 2);
    $modulusBytes = ceil(strlen($modulusInteger->toBits()) / 8);
    // Bytes in the Modulus must be 11 Bytes longer than Bytes in the Password (UTF-8 => 8 Bytes per Character)
    if($modulusBytes < strlen($data) + 11) {
        // Otherwise Encryption is impossible so Return Null
        return null;
    };
    // Array to Store Sequence of Bytes in the Padded Password
    $buffer = array();
    // Variables to Hold Current Position of Bytes and Characters
    $currentModulusByte = $modulusBytes;
    $currentDataCharacter = strlen($data) - 1;
    // Insert Password into End of Buffer
    while($currentDataCharacter >= 0 && $currentModulusByte > 0) {
        $buffer[--$currentModulusByte] = ord($data[$currentModulusByte--]);
    };
    // Insert 0 as the Next Last Value of Buffer
    $Buffer[--$currentModulusByte] = 0;
    // Insert Random Bytes into Buffer until the First 2 Bytes
    while($currentModulusByte > 2) {
        $buffer[--$currentModulusByte] = rand(1,255);
    };
    // Insert 0 and 2 as the First 2 Bytes in the Sequence
    $buffer[--$currentModulusByte] = 2;
    $buffer[--$currentModulusByte] = 0;
    // Math_BigInteger() doesn't accept an Array of Bytes so convert it to a Binary string
    $paddedModulusBinary = bytes_to_binary($buffer);
    // Convert Binary to BigInteger using a Base 2
    $paddedModulusInteger = new Math_BigInteger($paddedModulusBinary, 2);
    return $paddedModulusInteger;
}

// Copy of the Encrypt function
function encrypt($data, $publicKey) {
    // Make Sure that the Public Key is not Null
    if(!$publicKey) {
        return false;
    };
    // Pad the Data for Encryption
    $paddedData = pkcs1pad2($data, $publicKey);
    // Make Sure that the Padded Data is not Null
    if(!$paddedData) {
        return false;
    };
    // Encrypt the Padded Data using the Public Key
    $exponentBinary = hex_to_binary($publicKey['exponent']);
    $exponentBigInt = new Math_BigInteger($exponentBinary, 2);
    $modulusBinary = hex_to_binary($publicKey['modulus']);
    $modulusBigInt = new Math_BigInteger($modulusBinary, 2);
    $encryptedData = $paddedData->modPow($exponentBigInt, $modulusBigInt);
    // Make Sure that the Encrypted Data is not Null
    if(!$encryptedData) {
        return false;
    }
    // Convert the Encrypted Data to Binary
    $encryptedBinaryData = $encryptedData->toBits();
    // Pad Empty Bits onto the Start of the Encrypted Binary Data
    $modulusBitLength = strlen($publicKey['modulus']) * 4;
    $encryptedBinaryData = str_pad($encryptedBinaryData, $modulusBitLength, '0', STR_PAD_LEFT);
    // Convert Binary to Text
    $textData = binary_to_text($encryptedBinaryData);
    // Encode Binary with Base64
    $base64EncodedData = base64_encode($textData);
    // Encode Base64 for Url
    $urlEncodedData = urlencode($base64EncodedData);
    return $urlEncodedData;
 }

任何帮助将不胜感激。
这个问题过去曾提出过，但从未得到正确回答。 希望这次我们能有更多的运气。

Answer 1

我的第一个想法...您可能需要做define('CRYPT_RSA_PKCS15_COMPAT', true) 。 phpseclib（在PHP端使用）使用PKCS1 v2.0 +中定义的填充技术，该技术与PKCS1 v1.5中描述的填充技术略有不同。 在进行加密之前进行define('CRYPT_RSA_PKCS15_COMPAT', true)可能会有所帮助。

失败的话，尝试执行$rsa->publicExponent = new Math_BigInteger($exp, -16)可能是值得的

当我下班回家时，我会尝试更多一些。

Answer 2

与其发布自己的解决方案， openssl_{public,private}_{encrypt,decrypt}考虑使用openssl_{public,private}_{encrypt,decrypt}函数。