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Paper detail

Faster deterministic integer factorization

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).

preprint2012arXivOpen access
Edgar CostaDavid Harvey
Data Structures and Algorithmsmath.NT
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Edgar CostaDavid Harvey

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