| N. DeBruijn. On the number of uncancelled elements in the sieve of eratosthenes. Proc. Neder. Akad., 53:803--812, 1950. Reviewed in Leveque Reviews in Number Theory, Vol. 4, Section N-28, p. 221. |
....section 6. We leave the details to the full version of the paper. 8 Performance The most resource consuming part of our protocol, in terms of computation and communication, is the computation of N together with trial divisions. We use trial divisions because of the following result by DeBruijn [10]. If a random oe=2 bit integer passes the trial divisions for all primes less than B then asymptotically: Pr[p prime j p 6j 0 mod p i ; 8p i B] 5:14 lnB oe (1 o( 2 oe ) We focus on the performance of the more efficient version of our protocol, using homomorphic encryption. We also ....
N. DeBruijn. On the number of uncancelled elements in the sieve of eratosthenes. Proc. Neder. Akad., 53:803--812, 1950. Reviewed in Leveque Reviews in Number Theory, Vol. 4, Section N-28, p. 221.
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