Faster deterministic integer factorization

نویسندگان

  • Edgar Costa
  • David Harvey
چکیده

The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(Mint(N 1/4 logN)), where Mint(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 √

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عنوان ژورنال:
  • Math. Comput.

دوره 83  شماره 

صفحات  -

تاریخ انتشار 2014