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Extra resources for RSA Encryption Algorithm in a Nut Shell
Def prime(bytes, init=0L): i = init # if we already know a large prime number, it # is sometimes faster to find the "next" prime # number by guessing where to start the search. 32 RSA Encryption Algorithm in a Nut Shell. if i: i+= long(log(i)/2) else: i = rand(2**bytes) if not i%2: i+=1 # chose the first uneven number # # # # p is the required precision for the millerrabin algorithm. For large numbers, we higher values for p to ensure that the miller-rabin algorithm returns reliable results. \b"); f = MRabin(i,p) # verify that it is prime if (rsa_dsp): _rsa_dsp_iter(True) return i # return the prime number # # # # # # the keypair function returns a tuple of 2 rsakey objects which can be used for public key encryption via RSA.
The related load() function will read such a string representation from a file and pass the string over to the read() function to initialize the core values. read()) # # # # # # # # # # # For very large keys, encryption and decryption of data can be very slow. Therefore, small strings like passwords or keys for other encryption mechanisms should be encrypted by using the pencrypt and pdecrypt functions which only call the ModExp() operation once. For this purpose, the data that has to be encrypted is interpreted as one large integer number (byte by byte) and this single number is being encrypted / decrypted.
Bruce Schneier, Applied Cryptography, Wiley Publications, Second edition, 2001. 11. Zuckerman, An Introduction to the Theory of Numbers, Wiley Eastern Limited. V aka Data. Jesko Huettenhain aka RattleSnake.