Returns: an RSA key object (RsaKey, with private key). Crypto.PublicKey.RSA.construct (rsacomponents, consistencycheck=True) ¶ Construct an RSA key from a tuple of valid RSA components. The modulus n must be the product of two primes. The public exponent e must be odd and larger than 1. In case of a private key, the following equations must. Generate an RSA Private and Public Key Pair with OPENSSL. Openssl rsa -help openssl rsautl -help openssl genrsa -des3 -out private.pem 1024 (Encrypts with a password-just remove '-des3' if you'd rather not have a password on the private key) openssl rsa in private.key -pubout -out public.pem (Generate public key) Abstract the common Modulus. Jun 15, 2015 Hi guys, I've been wracking my brain for weeks on RSA encryption and it turns out the key I had isn't the key at all, its an exponent and I need to use the exponent and modulus I have to generate a key, however it doesn't seem (from what I've found) that Apple has a way of doing that in iOS. @fjsj it's good to use Base64 encoding to encode a byte sequence to a string instead of Unicode encoding, because not every byte sequence has a Unicode representation. In this example, when the RSA encrypts the input bytes you can't be sure if the output bytes have a Unicode representation, but you can be sure that they have a Base64 representation. DMTH237 Assignment 5 DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE Please sign the declaration below, and staple this sheet to the front of your solutions. Jan 24, 2018 Hi there! First of all I would like to say I'm new in programming so maybe I could ask some weird q =D I would like to generate Public Key with data made with public key modulus and exponent. Let modData = modulus.data(using:.utf8)!
- Generate Rsa Public Key From Modulus Exponent In Word
- Rsa Public Key Example
- Generate Rsa Public Key From Modulus And Exponent
- Rsa Exponent Modulus
RSA is the most widespread and used public key algorithm. Its security isbased on the difficulty of factoring large integers. The algorithm haswithstood attacks for more than 30 years, and it is therefore consideredreasonably secure for new designs.
The algorithm can be used for both confidentiality (encryption) andauthentication (digital signature). It is worth noting that signing anddecryption are significantly slower than verification and encryption.
The cryptographic strength is primarily linked to the length of the RSA modulus n.In 2017, a sufficient length is deemed to be 2048 bits. For more information,see the most recent ECRYPT report.
Both RSA ciphertexts and RSA signatures are as large as the RSA modulus n (256bytes if n is 2048 bit long).
The module
Crypto.PublicKey.RSA
provides facilities for generating new RSA keys,reconstructing them from known components, exporting them, and importing them.As an example, this is how you generate a new RSA key pair, save it in a filecalled
mykey.pem
, and then read it back:Crypto.PublicKey.RSA.
generate
(bits, randfunc=None, e=65537)¶Create a new RSA key pair.
The algorithm closely follows NIST FIPS 186-4 in itssections B.3.1 and B.3.3. The modulus is the product oftwo non-strong probable primes.Each prime passes a suitable number of Miller-Rabin testswith random bases and a single Lucas test.
Parameters: |
|
---|
Returns: an RSA key object (
RsaKey
, with private key).Crypto.PublicKey.RSA.
construct
(rsa_components, consistency_check=True)¶Construct an RSA key from a tuple of valid RSA components.
The modulus n must be the product of two primes.The public exponent e must be odd and larger than 1.
In case of a private key, the following equations must apply:
[begin{split}begin{align}p*q &= n e*d &equiv 1 ( text{mod lcm} [(p-1)(q-1)]) p*u &equiv 1 ( text{mod } q)end{align}end{split}]
Parameters: |
|
---|---|
Raises: | ValueError – when the key being imported fails the most basic RSA validity checks. |
Returns: An RSA key object (
RsaKey
).Crypto.PublicKey.RSA.
import_key
(extern_key, passphrase=None)¶Import an RSA key (public or private).
Parameters: |
|
---|
Returns: An RSA key object (
RsaKey
).Raises: | ValueError/IndexError/TypeError – When the given key cannot be parsed (possibly because the passphrase is wrong). |
---|
Crypto.PublicKey.RSA.
RsaKey
(**kwargs)¶Class defining an actual RSA key.Do not instantiate directly.Use
generate()
, construct()
or import_key()
instead.Variables: |
|
---|
exportKey
(format='PEM', passphrase=None, pkcs=1, protection=None, randfunc=None)¶Export this RSA key.
Parameters: |
|
---|---|
Returns: | the encoded key |
Return type: | byte string |
Raises: | ValueError – when the format is unknown or when you try to encrypt a privatekey with DER format and PKCS#1. |
Warning
If you don’t provide a pass phrase, the private key will beexported in the clear!
export_key
(format='PEM', passphrase=None, pkcs=1, protection=None, randfunc=None)¶Export this RSA key.
Generate Rsa Public Key From Modulus Exponent In Word
Parameters: |
|
---|---|
Returns: | the encoded key |
Return type: | byte string |
Raises: | ValueError – when the format is unknown or when you try to encrypt a privatekey with DER format and PKCS#1. |
Warning
If you don’t provide a pass phrase, the private key will beexported in the clear!
has_private
()¶Whether this is an RSA private key
publickey
()¶A matching RSA public key.
Returns: | a new RsaKey object |
---|
size_in_bits
()¶Size of the RSA modulus in bits
size_in_bytes
()¶The minimal amount of bytes that can hold the RSA modulus
Crypto.PublicKey.RSA.
oid
= '1.2.840.113549.1.1.1'¶Object ID for the RSA encryption algorithm. This OID often indicatesa generic RSA key, even when such key will be actually used for digitalsignatures.
crypto.cs
usingSystem; |
usingSystem.Diagnostics; |
usingSystem.Security.Cryptography; |
usingSystem.Text; |
namespaceCrtypto |
{ |
classProgram |
{ |
staticvoidMain(string[] args) |
{ |
// generating public/private keys |
// |
//Debug.WriteLine('private: ' + RSA.ToXmlString(true)); |
//Debug.WriteLine('public: ' + RSA.ToXmlString(false)); |
varpublicKey= |
'<RSAKeyValue><Modulus>21wEnTU+mcD2w0Lfo1Gv4rtcSWsQJQTNa6gio05AOkV/Er9w3Y13Ddo5wGtjJ19402S71HUeN0vbKILLJdRSES5MHSdJPSVrOqdrll/vLXxDxWs/U0UT1c8u6k/Ogx9hTtZxYwoeYqdhDblof3E75d9n2F0Zvf6iTb4cI7j6fMs=</Modulus><Exponent>AQAB</Exponent></RSAKeyValue>'; |
varprivateKey= |
'<RSAKeyValue><Modulus>21wEnTU+mcD2w0Lfo1Gv4rtcSWsQJQTNa6gio05AOkV/Er9w3Y13Ddo5wGtjJ19402S71HUeN0vbKILLJdRSES5MHSdJPSVrOqdrll/vLXxDxWs/U0UT1c8u6k/Ogx9hTtZxYwoeYqdhDblof3E75d9n2F0Zvf6iTb4cI7j6fMs=</Modulus><Exponent>AQAB</Exponent><P>/aULPE6jd5IkwtWXmReyMUhmI/nfwfkQSyl7tsg2PKdpcxk4mpPZUdEQhHQLvE84w2DhTyYkPHCtq/mMKE3MHw</P><Q>3WV46X9Arg2l9cxb67KVlNVXyCqc/w+LWt/tbhLJvV2xCF/0rWKPsBJ9MC6cquaqNPxWWEav8RAVbmmGrJt51Q</Q><DP>8TuZFgBMpBoQcGUoS2goB4st6aVq1FcG0hVgHhUI0GMAfYFNPmbDV3cY2IBt8Oj/uYJYhyhlaj5YTqmGTYbATQ</DP><DQ>FIoVbZQgrAUYIHWVEYi/187zFd7eMct/Yi7kGBImJStMATrluDAspGkStCWe4zwDDmdam1XzfKnBUzz3AYxrAQ</DQ><InverseQ>QPU3Tmt8nznSgYZ+5jUo9E0SfjiTu435ihANiHqqjasaUNvOHKumqzuBZ8NRtkUhS6dsOEb8A2ODvy7KswUxyA</InverseQ><D>cgoRoAUpSVfHMdYXW9nA3dfX75dIamZnwPtFHq80ttagbIe4ToYYCcyUz5NElhiNQSESgS5uCgNWqWXt5PnPu4XmCXx6utco1UVH8HGLahzbAnSy6Cj3iUIQ7Gj+9gQ7PkC434HTtHazmxVgIR5l56ZjoQ8yGNCPZnsdYEmhJWk=</D></RSAKeyValue>'; |
vartestData=Encoding.UTF8.GetBytes('testing'); |
using ( varrsa=newRSACryptoServiceProvider(1024)) |
{ |
try |
{ |
// client encrypting data with public key issued by server |
// |
rsa.FromXmlString(publicKey); |
varencryptedData=rsa.Encrypt(testData, true); |
varbase64Encrypted=Convert.ToBase64String(encryptedData); |
Debug.WriteLine(base64Encrypted); |
// server decrypting data with private key |
// |
rsa.FromXmlString(privateKey); |
varresultBytes=Convert.FromBase64String(base64Encrypted); |
vardecryptedBytes=rsa.Decrypt(resultBytes, true); |
vardecryptedData=Encoding.UTF8.GetString(decryptedBytes); |
Debug.WriteLine(decryptedData); |
} |
finally |
{ |
rsa.PersistKeyInCsp=false; |
} |
} |
} |
} |
} |
commented May 9, 2015
Rsa Public Key Example
Why exactly do you need ToBase64String and FromBase64String? I've seen some people saying this is necessary: http://stackoverflow.com/a/2164186/145349 Can you confirm this? |
commented Jul 26, 2017
@fjsj it's good to use Base64 encoding to encode a byte sequence to a string instead of Unicode encoding, because not every byte sequence has a Unicode representation. In this example, when the RSA encrypts the input bytes you can't be sure if the output bytes have a Unicode representation, but you can be sure that they have a Base64 representation. |
commented Feb 2, 2018
Thanks for code! |
Generate Rsa Public Key From Modulus And Exponent
Rsa Exponent Modulus
Sign up for freeto join this conversation on GitHub. Already have an account? Sign in to comment