The first test uses the famous 425-bit key pair belonging to RSA-129, a challenge published in Martin Gardner’s column in Scientific American back in 1977. """Execute test case: generate keys, encrypt message and """Print long primes in a formatted way""" """Return length (in bytes) of modulus""" Return reduce(lambda x, y : (x << 8) + y, listInt) """Convert a list of small integers into an integer""" # License: Attribution-NonCommercial-ShareAlike 3.0 Unportedįrom random import randrange, getrandbitsįor j in reversed(range(0, size > j) & 0xffįor j in reversed(range(0, size << 3, 8))] ![]() # Author: Joao H de A Franco Description: RSA implementation in Python 3 The genRSA() function is pretty straightforward: it generates the standard public-key small exponent, 3 or 65537 (hex 10001), depending on the size of modulus (a small public exponent speeds up both the encryption and signature verification operations). ![]() The inv() function, which calculates modular multiplicative inverses, gets a helping hand from the Extended Euclidean algorithm xgcd() function. The getprime() function is in charge of generating primes of the required size and, for this purpose, uses a probabilistic algorithm, the Miller-Rabin primality test. Nevertheless, it has all the primitive machinery needed to encrypt and decrypt messages using the RSA public-key algorithm. This Python script below implements the basic RSA encryption and decryption operations without any concern about padding or character encoding.
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