Rsa decryption github

Rsa decryption github DEFAULT


When browsing the internet looking for a good solution to RSA Javascript encryption, there is a whole slew of libraries that basically take the fantastic work done by Tom Wu @ and then modify that code to do what they want.

What I couldn't find, however, was a simple wrapper around this library that basically uses the library practically untouched, but adds a wrapper to provide parsing of actual Private and Public key-pairs generated with OpenSSL.

This library is the result of these efforts.

This library should work hand-in-hand with openssl. With that said, here is how to use this library.

  • Within your terminal (Unix based OS) type the following.
  • This generates a private key, which you can see by doing the following...
  • You can then copy and paste this in the Private Key section of within index.html.
  • Next, you can then get the public key by executing the following command.
  • You can see the public key by typing...
  • Now copy and paste this in the Public key within the index.html.
  • Now you can then convert to and from encrypted text by doing the following in code.
<!doctype html><html><head><title>JavaScript RSA Encryption</title><scriptsrc=""></script><scriptsrc="bin/jsencrypt.min.js"></script><scripttype="text/javascript">// Call this code when the page is done loading.$(function(){// Run a quick encryption/decryption when they click.$('#testme').click(function(){// Encrypt with the public key...varencrypt=newJSEncrypt();encrypt.setPublicKey($('#pubkey').val());varencrypted=encrypt.encrypt($('#input').val());// Decrypt with the private key...vardecrypt=newJSEncrypt();decrypt.setPrivateKey($('#privkey').val());varuncrypted=decrypt.decrypt(encrypted);// Now a simple check to see if the round-trip worked.if(uncrypted==$('#input').val()){alert('It works!!!');}else{alert('Something went wrong....');}});});</script></head><body><labelfor="privkey">Private Key</label><br/> <textareaid="privkey" rows="15" cols="65">-----BEGIN RSA PRIVATE KEY----- MIICXQIBAAKBgQDlOJu6TyygqxfWT7eLtGDwajtNFOb9I5XRb6khyfD1Yt3YiCgQ WMNW649887VGJiGr/L5i2osbl8C9+WJTeucF+S76xFxdU6jE0NQ+Z+zEdhUTooNR aY5nZiu5PgDB0ED/ZKBUSLKL7eibMxZtMlUDHjm4gwQco1KRMDSmXSMkDwIDAQAB AoGAfY9LpnuWK5Bs50UVep5c93SJdUi82u7yMx4iHFMc/Z2hfenfYEzu+57fI4fv xTQ//5DbzRR/XKb8ulNv6+CHyPF31xk7YOBfkGI8qjLoq06V+FyBfDSwL8KbLyeH m7KUZnLNQbk8yGLzB3iYKkRHlmUanQGaNMIJziWOkN+N9dECQQD0ONYRNZeuM8zd 8XJTSdcIX4a3gy3GGCJxOzv16XHxD03GW6UNLmfPwenKu+cdrQeaqEixrCejXdAF z/7+BSMpAkEA8EaSOeP5Xr3ZrbiKzi6TGMwHMvC7HdJxaBJbVRfApFrE0/mPwmP5 rN7QwjrMY+0+AbXcm8mRQyQ1+IGEembsdwJBAN6az8Rv7QnD/YBvi52POIlRSSIM V7SwWvSK4WSMnGb1ZBbhgdg57DXaspcwHsFV7hByQ5BvMtIduHcT14ECfcECQATe aTgjFnqE/lQ22Rk0eGaYO80cc643BXVGafNfd9fcvwBMnk0iGX0XRsOozVt5Azil psLBYuApa66NcVHJpCECQQDTjI2AQhFc1yRnCU/YgDnSpJVm1nASoRUnU8Jfm3Oz uku7JUXcVpt08DFSceCEX9unCuMcT72rAQlLpdZir876 -----END RSA PRIVATE KEY-----</textarea><br/> <labelfor="pubkey">Public Key</label><br/> <textareaid="pubkey" rows="15" cols="65">-----BEGIN PUBLIC KEY----- MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDlOJu6TyygqxfWT7eLtGDwajtN FOb9I5XRb6khyfD1Yt3YiCgQWMNW649887VGJiGr/L5i2osbl8C9+WJTeucF+S76 xFxdU6jE0NQ+Z+zEdhUTooNRaY5nZiu5PgDB0ED/ZKBUSLKL7eibMxZtMlUDHjm4 gwQco1KRMDSmXSMkDwIDAQAB -----END PUBLIC KEY-----</textarea><br/> <labelfor="input">Text to encrypt:</label><br/> <textareaid="input" name="input" type="text" rows=4cols=70>This is a test!</textarea><br/> <inputid="testme" type="button" value="Test Me!!!" /><br/> </body></html>
// Sign with the private key...varsign=newJSEncrypt();sign.setPrivateKey($('#privkey').val());varsignature=sign.sign($('#input').val(),CryptoJS.SHA256,"sha256");// Verify with the public key...varverify=newJSEncrypt();verify.setPublicKey($('#pubkey').val());varverified=verify.verify($('#input').val(),signature,CryptoJS.SHA256);// Now a simple check to see if the round-trip worked.if(verified){alert('It works!!!');}else{alert('Something went wrong....');}
  • Note that you have to provide the hash function. In this example we use one from the CryptoJS library, but you can use whichever you want.
  • Also, unless you use a custom hash function, you should provide the hash type to the method. Possible values are: , , , , , , , .

This library heavily utilizes the wonderful work of Tom Wu found at

This jsbn library was written using the raw variables to perform encryption. This is great for encryption, but most private keys use a Private Key in the PEM format seen below.

1024 bit RSA Private Key in Base64 Format

This library simply takes keys in the following format, and translates it to those variables needed to perform the encryptions used in Tom Wu's library.

Here are some good resources to investigate further.

With this information, we can translate a private key format to the variables required with the jsbn library from Tom Wu by using the following mappings.



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SwiftRSA is a simple wrapper of Apple Security API which makes RSA encryption and decryption easy to use. It is motivated by creating the app of


SwiftRSA 101

Create a public / private key

With a PEM encoded string

let pemPrivate =""" -----BEGIN RSA PRIVATE KEY----- MIIEowIBAAKCAQEA0HRZppSvYCAFTo+ie5z7EXmzFJ9rSpuUJUAAvikOq/lGVqaK ... 2bhAIUk7eWJTorZYujzXO+HmDt+8/ha+RBAtgQPDFPGHG/QaZik8 -----END RSA PRIVATE KEY-----"""let pemPublic =""" -----BEGIN PUBLIC KEY----- MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEA0HRZppSvYCAFTo+ie5z7 ... mwIDAQAB -----END PUBLIC KEY-----"""guardlet privateKey =PrivateKey(pemEncoded: pem) else { // Invalid pem string} guardlet publicKey =PublicKey(pemEncoded: pemPublic) else { // Invalid pem string}

With a DER encoded string

guardlet privateKey =PrivateKey(der: data) else { // Invalid DER data} guardlet publicKey =PublicKey(der: data) else { // Invalid DER data}

Encrypt with a public key

let ct =ClearText(string: "Hello world") let encrypted =try ct.encrypted(with: publicKey, by: .rsaEncryptionOAEPSHA512) /// `encrypted` is an `EncryptedText` object.

Decrypt with a private key

/// `originText` is a `ClearText` objectlet originText =try encrypted.decrypted(with: privateKey)

Get data from an object

let data =

Get string from a object

let string = originText.stringValue


To integrate SwiftRSA into your Xcode project using Carthage, speicify the following line in your :

github "puretears/SwiftRSA"~> 0.1


Next Steps

  • Cocoapods and SPM support;
  • More RSA algorithm support;
  • Add X.509 certificate support;
  • Add sign and verify support;

Release History


SwiftRSA is released under the MIT license. See LICENSE for details.

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Python program to encrypt/decrypt or generate key pairs using RSA Algorithm


RSA (Rivest–Shamir–Adleman) is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone.
Imagine that someone on the other side of the world wants to communicate with you. You both know that spy agencies are monitoring all emails, letters, texts, and phone calls. To send encrypted messages to that person, you both must agree on a secret key to use. But if one of you emails the secret key to the other, the spy agency will intercept this key and then decrypt any future messages encrypted using that key. Secretly meeting in person to exchange the key is impossible. You can try encrypting the key, but this requires sending that secret key for that message to the other person, which will also be intercepted.
Public key cryptography solves this encryption problem by using two keys, one for encryption and one for decryption, and is an example of an asymmetric cipher. Ciphers that use the same key for encryption and decryption are symmetric ciphers. It’s important to know that a message encrypted using the encryption key (public key) can only be decrypted using the decryption key (private key). So even if someone obtains the encryption key, they won’t be able to read the original message because the encryption key can’t decrypt the message.
The encryption key is called the public key because it can be shared with the entire world. In contrast, the private key, or the decryption key, must be kept secret.


Download python3 from here. Don't forget to add Python to your PATH variable.
Then download the from github and extract it to a directory of your convenience.

Ways to execute the program

There are two ways through which one can run the program,

  1. Open Command Prompt and type the following arguement to run the program.
  2. Just click present in the parent directory and python console window will open.

To run the program in Command Prompt type,

Upon pressing enter, the following will be displayed -

NOTE: The above display will be same if one uses python console.
The rest of the instructions is fairly easy. Just follow the inputs as they are displayed.

Public and Private Key generation

Let's see an example to see how we can generate public and private key for our encryption program.

It is recommended to use 1024 bit-size key for RSA encryption.
In the above example public key is saved as x_publickey.txt and private key as x_privatekey.txt. If you entered the name as 'Elon', the keys will be saved as Elon_publicley.txt and Elon_privatekey.txt. Now we can share the public key text file to anyone, they in turn can encrypt their messages using the public key and the message to you. You can then decrypt the message using the private key.

Encrypting or Decrypting text files

Encryption -

Decryption -

Rather than using numbers for file, one can either use the path to the file or the file itself if it is in the current directory. One such example -

In this input, the program generates a new file with the name given by the user. It is similiar for both encrypt and decrypt mode.


You do not have to download any modules prior to running this program as they used are already included in the source code.


The Description has been derived from CRACKING CODES WITH PYTHON by Al Sweigart and this book has been my inspiration to write this program.
Al Sweigart is a software developer and tech book author living in San Francisco. Python is his favorite programming language, and he is the developer of several open source modules for it. His other books are freely available under a Creative Commons license on his website https:// His cat weighs 12 pounds.


MIT License : see the file


RSA Encryption

Implementation of the RSA encryption algorithm using big-integer algebra algorithms

MIT LicenseVersion 1.0.0


This program implements RSA key encryption and decryption. There is a file called src/resources/primes.rsc that contains a list of large prime numbers. These primes are used to generate private and public keys. When the program starts, you can either load in an already generated key pair, or you can create new ones. The new keys will be in a folder called output in the project directory. Inside there is a file heiarchy that will represent a when a key was generated through the use of a timestamped folder. Inside said folders, there are public and private keys in XML format. When a key is generated, it is important to note that only one key can be loaded at a time, hence you can only encrypt or decrypt if you loaded the appropriate key. The public key allows for encryption, while the private key allows for decryption.

Building & Running & Cleaning

This project uses Maven as it's build system. If you would like to build and run the application from source, then the following commands will prove useful.

Compile Classes & Package JAR

Run Main Class From JAR

java -cp target/rsa_encryption-1.0.0.jar com.rsa_encryption.RSA

Clean Generated Files

This will not delete the output folder that contain your generated key pairs.

Encryption & Decrytion Steps

1. Run the program

2. Click Create, public key will be loaded

3. Click Open, and select file to encrypt

4. Click Block

5. Click Encrypt, and your file will be encrypted

6. To decrypt, click Load, navigate to generated private key in output directory

7. Click Decrypt

8. Click Unblock, and your original file will be in it's original state

Additional Notes

This source was used to better understand how RSA encryption works and how the key generation process works.

This source was used to learn how to parse and write XML files in the Java language.

This source was used to better explain how to expand a exponential operation using the Eclidean explansion algorithm.


Github rsa decryption

# (primary source)# int,q: int, msg: str):# n = pqn=p*q# z = (p-1)(q-1)z= (p-1)*(q-1)# e -> gcd(e,z)==1 ; 1 < e < z# d -> ed = 1(mod z) ; 1 < d < ze=find_e(z)d=find_d(e, z)# Convert Plain Text -> Cypher Textcypher_text=''# C = (P ^ e) % nforchinmsg:# convert the Character to ascii (ord)ch=ord(ch)# encrypt the char and add to cypher text# convert the calculated value to Characters(chr)cypher_text+=chr((ch**e) %n)# Convert Plain Text -> Cypher Textplain_text=''# P = (C ^ d) % nforchincypher_text:# convert it to asciich=ord(ch)# decrypt the char and add to plain text# convert the calculated value to Characters(chr)plain_text+=chr((ch**d) %n)returncypher_text, plain_textdeffind_e(z: int):# e -> gcd(e,z)==1 ; 1 < e < ze=2whilee<z:# check if this is the required `e` valueifgcd(e, z)==1:returne# else : increment and continuee+=1deffind_d(e: int, z: int):# d -> ed = 1(mod z) ; 1 < d < zd=2whiled<z:# check if this is the required `d` valueif ((d*e) %z)==1:returnd# else : increment and continued+=1defgcd(x: int, y: int):# GCD by Euclidean methodsmall,large= (x,y) ifx<yelse (y,x)whilesmall!=0:temp=large%smalllarge=smallsmall=tempreturnlarge#mainif__name__=="__main__":p,q=map(int, input().split())msg=input()cypher_text, plain_text=rsa_algo(p, q, msg)print("Encrypted (Cypher text) : ", cypher_text)print("Decrypted (Plain text) : ", plain_text)"""Input Explanation : - 2 prime numbers (p,q) - Msg to be encryptedInput :53 59Hello WorldOutput :Encrypted (Cypher text) : ѯ׮੢੢ѬךܩѬ঩੢ষDecrypted (Plain text) : Hello World"""'''Explanation : 1. Take two big prime numbers. Calculate the values of : # n = pq # z = (p-1)(q-1)2. Calculate Encryption Key : # e -> gcd(e,z)==1 ; 1 < e < z3. Calculate Decryption Key : # d -> ed = 1(mod z) ; 1 <d < z4. Get the Encrypted/Cypher text(C) and Decrypted/Plain text(P) : # C = (P ^ e) % n # P = (C ^ d) % n''''''GeeksforGeeks :RSA algorithm is asymmetric cryptography algorithm. Asymmetric actually means that it works on two different keys i.e. Public Key and Private Key. As the name describes that the Public Key is given to everyone and Private key is kept private.An example of asymmetric cryptography :A client (for example browser) sends its public key to the server and requests for some data.The server encrypts the data using client’s public key and sends the encrypted data.Client receives this data and decrypts it.Since this is asymmetric, nobody else except browser can decrypt the data even if a third party has public key of browser.The idea! The idea of RSA is based on the fact that it is difficult to factorize a large integer. The public key consists of two numbers where one number is multiplication of two large prime numbers. And private key is also derived from the same two prime numbers. So if somebody can factorize the large number, the private key is compromised. Therefore encryption strength totally lies on the key size and if we double or triple the key size, the strength of encryption increases exponentially. RSA keys can be typically 1024 or 2048 bits long, but experts believe that 1024 bit keys could be broken in the near future. But till now it seems to be an infeasible task.Let us learn the mechanism behind RSA algorithm :>> Generating Public Key :Select two prime no's. Suppose P = 53 and Q = 59.Now First part of the Public key : n = P*Q = 3127. We also need a small exponent say e : But e Must be An integer.Not be a factor of n.1 < e < Φ(n) [Φ(n) is discussed below], Let us now consider it to be equal to 3.Our Public Key is made of n and e>> Generating Private Key :We need to calculate Φ(n) :Such that Φ(n) = (P-1)(Q-1) so, Φ(n) = 3016Now calculate Private Key, d : d = (k*Φ(n) + 1) / e for some integer kFor k = 2, value of d is 2011.Now we are ready with our – Public Key ( n = 3127 and e = 3) and Private Key(d = 2011)Now we will encrypt “HI” :Convert letters to numbers : H = 8 and I = 9Thus Encrypted Data c = 89e mod n. Thus our Encrypted Data comes out to be 1394Now we will decrypt 1349 : Decrypted Data = cd mod n. Thus our Encrypted Data comes out to be 898 = H and I = 9 i.e. "HI".'''
RSA Encryption and Decryption(java implementation) تشفير بالعربي

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