Tool for standard attacks on the RSA cryptosystem

Open up the terminal on the directory containing RSAPoisoner.sage and run the following command:

sage RSAPoisoner.sage

When asked to enter data, enter the integer form of the data. Except for the conversions, all other options strictly take numbers as input.

1. RSA Encrypt -> Performs unpadded RSA encryption
2. RSA Decrypt (d known) -> Decrypts RSA when private exponent d is known
3. RSA Decrypt (factors known) -> Decrypts RSA when factors of the prime modulus N are known
4. Common Modulus Attack (External) -> Uncovers plaintext given external attacker details in a common modulus situation
5. Common Modulus Attack (Internal) -> Uncovers private exponent d given internal attacker details in a common modulus situation
6. Small Public Exponent Attack -> Uncovers plaintext when the public exponent is too small
7. Hastad's Broadcast Attack -> Uncovers plaintext broadcasted e times using Hastad's broadcast attack
8. Wiener's Attack -> Attempts to uncover private exponent d using Wiener's attack
9. Fermat's Factorisation -> Attemps factorisation by Fermat's factorisation method
10. Twin Primes Factorisation -> Attempts factorisaton of a product of twin primes
11. Extract Modulus (e known) -> Extracts the unknown prime modulus N given appropriate plaintext-ciphertext pairs when public exponent e is known
12. Extract Modulus (e unknown) -> Extracts the unknown prime modulus N given appropriate plaintext-ciphertext pairs when public exponent e is unknown
13. String To Long -> Converts an ASCII string to its integer representation
14. Long To String -> Converts an integer to its ASCII representation
15. Hex To Long -> Converts a hexadecimal to its integer value
16. Long To Hex -> Converts an integer into its hexadecimal value
17. String To Hex -> Converts an ASCII string to its hexadecimal value
18. Hex To String -> Converts a hexadecimal value to its ASCII string
19. Exit -> Exits the tool

The current version of the tool performs absolutely NO error-handling. It assumes that the user enters appropriate inputs and does not try to crash the program. I plan on implementing error-handling in the future.