Miller Rabin
Found 4 free book(s)
A Computational Introduction to Number Theory and …
shoup.net10.2 The Miller–Rabin test 307 10.3 Generating random primes using the Miller–Rabin test 311 10.4 Factoring and computing Euler’s phi function 320 10.5 Notes 324 11 Finding generators and discrete logarithms in Z p 327 11.1 Finding a generator for Z p 327 11.2 Computing discrete logarithms in Z p 329 11.3 The Di e–Hellman key ...
Number Theory - Stanford University
crypto.stanford.eduThe Miller-Rabin Test We discuss a fast way of telling if a given number is prime that works with high probability. Generators Sometimes powering up a unit will generate all the other units. Cyclic Groups We focus only on multiplication and see if we can still say anything interesting. Quadratic Residues Elements of Z
Elliptic Curve Cryptography
cse.iitkgp.ac.inMiller. •The discrete logarithm problem on elliptic curve groups is believed to be more difficult than the corresponding problem in ... Rabin, and El Gamal. • Every user has a public and a private key. – Public key is used for encryption/signature verification.
PRIMES is in P
www.cse.iitk.ac.inIn 1975, Miller [Mil76] used a property based on Fermat’s Little Theorem to obtain a deterministic polynomial-time algorithm for primality testing assuming the Extended Riemann Hypothesis (ERH). Soon afterwards, his test was modified by Rabin [Rab80] to yield an unconditional but randomized polynomial-time algorithm.