Abstract: Sieve algorithm plays an important role in solving the shortest vector problem, which is one of the most representative hard lattice problems. In this paper, we propose an efficient sieve ...
To understand the quadratic sieve algorithm, we need some basic concepts from number theory, such as congruences, residues, and quadratic forms. A congruence is an equation that holds for some modulus ...
This is a C++ implementation of J. P. Sorenson's Pseudosquares Prime Sieve algorithm, which is one of the few prime sieving algorithms that is well suited for generating primes > $2^{64}$. The ...
The Sieve of Eratosthenes is an ancient, yet efficient, algorithm for identifying all prime numbers up to a given limit. The basic idea is this: 1. Assume every number is prime, marking them as True ...
Recent progress in single-particle-imaging with X-rays has made it possible to obtain 3D structural movies for studying tiny biological objects such as viruses. The quality of these movies depends on ...
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