FASTER DETERMINISTIC INTEGER FACTORIZATION

被引：0

作者：

Costa, Edgar ^{[1
]}

Harvey, David ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

MATHEMATICS OF COMPUTATION | 2014年 / 83卷 / 285期

基金：

澳大利亚研究理事会;

关键词：

MULTIPLICATION; COEFFICIENTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：339 / 345

页数：7

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