[英]RSA in C# public key is same as private key?
I searched a lot online but stuck with doubts in RSA public key and private key cryptography. 我在网上搜索了很多,但在RSA公钥和私钥加密方面存在疑虑。
When I checked MSDN site, I tried this 当我检查MSDN网站时,我尝试了这个
RSACryptoServiceProvider rsaEncryptDecrypt = new RSACryptoServiceProvider();
byte[] privateKeyByte = rsaEncryptDecrypt.ExportParameters(true).Modulus;
byte[] publicKeyByte = rsaEncryptDecrypt.ExportParameters(false).Modulus;
string privateKey = Convert.ToBase64String(privateKeyByte);
string publicKey = Convert.ToBase64String(publicKeyByte);
The string public key and private key are Same !!! 字符串公钥和私钥是相同的 ! Is it correct?
这是正确的吗? I mean how can the strings be same?
我的意思是字符串怎么可以相同? Isn't suppose to be two different keys?
不是假设是两个不同的键?
Please correct me if I am wrong. 如果我错了,请纠正我。 I am confused !
我很困惑 !
Thank you in advance! 先感谢您!
UPDATE UPDATE
I mistook the parameters, 我误认了参数,
But then: When I saw 但那时:我看到了
https://stackoverflow.com/questions/6592990/simple-rsa-encryption-decryption-in-net#answer-6593054" https://stackoverflow.com/questions/6592990/simple-rsa-encryption-decryption-in-net#answer-6593054"
How can I get string value? 我怎样才能获得字符串值? because I have to store it in App.config and access it whenever I want.
因为我必须将它存储在App.config中并随时访问它。 I mean I need to store the public and private keys both in App.config
我的意思是我需要在App.config中存储公钥和私钥
UPDATE2 UPDATE2
I am sorry, I just used ToXmlString property of RSACryptoServiceProvider's instance. 对不起,我刚刚使用了RSACryptoServiceProvider实例的ToXmlString属性。 Got the private key and public key.
获得了私钥和公钥。
The Modulus
is the same for both. Modulus
对于两者都是相同的。
The public key consists of the encryption exponent e
and the modulus n
. 公钥由加密指数
e
和模数n
。
Traditionally the decryption key consists of the decryption exponent d
and the same modulus n
. 传统上,解密密钥由解密指数
d
和相同的模数n
。 For better performance, it often includes some more numbers, such as the prime factors p
and q
of n
. 为了获得更好的性能,它通常包含更多数字,例如
n
的素因子p
和q
。
To better visualize what a public key includes try ToXmlString(false/true)
为了更好地可视化公钥包含的内容,请尝试
ToXmlString(false/true)
Public key ToXmlString(false)
: 公钥
ToXmlString(false)
:
<RSAKeyValue>
<Modulus>4ZpwnuksQkLuqLczu5eJcS6aIFaPsTwGpS57/P9rviJWI7sweYZnE/eBVtPVKoanhgHxmcHyk4GbyvCnXKSzDw==</Modulus>
<Exponent>AQAB</Exponent>
</RSAKeyValue>
Public Key+Private Key ToXmlString(true)
: 公钥+私钥
ToXmlString(true)
:
<RSAKeyValue>
<Modulus>4ZpwnuksQkLuqLczu5eJcS6aIFaPsTwGpS57/P9rviJWI7sweYZnE/eBVtPVKoanhgHxmcHyk4GbyvCnXKSzDw==</Modulus>
<Exponent>AQAB</Exponent>
<P>8lLDYv+MEBUdp0eUY3an4mlU7ovmyV6f60RJoXOB9Hs=</P>
<Q>7lYYef5/PvPOyrN0HGZPt/RWknfVd4c3Kc6WVEZICX0=</Q>
<DP>UI3GufAthWMfmm4nG/Fj2dYeD7aeH66/BpyKxYr6VmU=</DP>
<DQ>sBZkFx30nWo8in5zdtgQZfTcUXLAAIOiOf0sDC+w4XE=</DQ>
<InverseQ>GBkNq0KZ4ERaEO/oVQoQDONw6ZHixNimR5IJ7cbzKXw=</InverseQ>
<D>ErLyUrmQ6Y0SqvlEWHAe/DqYm8WQ82e+RUKtFDM3gvK9ygloqftx6rhn9XvM/ji1JnrDqiuepn5T3D3F+3GVQQ==</D>
</RSAKeyValue>
Hmm, I guess my comment is a good answer after all: 嗯,我想我的评论毕竟是一个很好的答案:
As you only transformed the modulus part of the keys and this part is there in both privat and public key it's no wonder. 因为你只改变了键的模数部分,而且这部分在privat和public key中都存在,这也就不足为奇了。
See here: http://en.wikipedia.org/wiki/RSA_%28algorithm%29#Key_generation 见这里: http : //en.wikipedia.org/wiki/RSA_%28algorithm%29#Key_generation
Look at the documentation for RSAParameters
- the public key is formed from {e, n}
( Exponent
and Modulus
). 查看
RSAParameters
的文档 - 公钥由{e, n}
( Exponent
和Modulus
)组成。 The private key is formed from {d, n}
( D
and Modulus
). 私钥由
{d, n}
( D
和Modulus
)组成。 so when you call ExportParameters(false)
you would get the same Modulus as that's part of the public information - but you won't get a value for the D
property. 因此,当您调用
ExportParameters(false)
您将获得与公共信息相同的模数 - 但您不会获得D
属性的值。
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