mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Factoring

Reply
 
Thread Tools
Old 2021-08-24, 13:29   #1
Till
 
Till's Avatar
 
"Tilman Neumann"
Jan 2016
Germany

7418 Posts
Default Another factor algorithm using lattice reduction

Hi all,
yesterday I found the following article: https://arxiv.org/ftp/arxiv/papers/1308/1308.2891.pdf

It claims to present the fastest deterministic integer factoring algorithm, having complexity O(N^1/6+ε).
Like Schnorr, the author is relying on lattice reduction methods.

Last fiddled with by Till on 2021-08-24 at 13:47 Reason: inserted exp operator
Till is offline   Reply With Quote
Old 2021-08-24, 14:03   #2
charybdis
 
charybdis's Avatar
 
Apr 2020

10438 Posts
Default

This paper looks sloppily written and uses some unconventional terminology, eg "largest integer function" for what I presume is the floor function. More recent papers on the topic do not reference it. That should be enough to tell us that it's flawed. There may well be multiple errors; one conspicuous one is in equation (7), where the author seems to have cancelled out N with (floor(√N))^2. Of course if these two were equal then N would be square and we wouldn't be trying to factor it!

It should also be noted that these algorithms are only of theoretical interest at present, because QS and NFS, while technically non-deterministic, are much faster and almost always work in practice.

Last fiddled with by charybdis on 2021-08-24 at 14:05
charybdis is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Computing Power Reduction? Zhangrc Marin's Mersenne-aries 3 2021-08-15 13:36
Fast modular reduction for primes < 512 bits? BenR Computer Science & Computational Number Theory 2 2016-03-27 00:37
Efficient modular reduction with SSE fivemack Computer Science & Computational Number Theory 15 2009-02-19 06:32
CPU stats reduction Prime95 PrimeNet 3 2008-11-17 19:57
Lattice Reduction R.D. Silverman Factoring 2 2005-08-03 13:55

All times are UTC. The time now is 14:45.


Tue Dec 7 14:45:27 UTC 2021 up 137 days, 9:14, 1 user, load averages: 1.25, 1.36, 1.39

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.