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arXiv · 1201.2116

Faster deterministic integer factorization

Edgar Costa·David Harvey
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Abstract

The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(M_int(N^(1/4) log N)), where M_int(k) denotes the cost of multiplying k-bit integers. This result is due to Bostan--Gaudry--Schost, following the Pollard--Strassen approach. We show that this bound can be improved by a factor of (log log N)^(1/2).

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Edgar Costa, David Harvey. 2012-01-10. Faster deterministic integer factorization. https://arxiv.org/abs/1201.2116

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