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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