https://arxiv.org/abs/2210.04045

close this message

Accessible arXiv

Do you navigate arXiv using a screen reader or other assistive
technology? Are you a professor who helps students do so? We want to
hear from you. Please consider signing up to share your insights as
we work to make arXiv even more open.

Share Insights
Skip to main content
Cornell University
We gratefully acknowledge support from
the Simons Foundation and member institutions.
 
arxiv logo > cs > arXiv:2210.04045
[                    ]

Help | Advanced Search

[All fields        ]
Search
arXiv logo
Cornell University Logo
[                    ] GO
quick links

  * Login
  * Help Pages
  * About

Computer Science > Symbolic Computation

arXiv:2210.04045 (cs)
[Submitted on 8 Oct 2022 (v1), last revised 11 Oct 2022 (this
version, v2)]

Title:The FBHHRBNRSSSHK-Algorithm for Multiplication in $\mathbb{Z}_2
^{5\times5}$ is still not the end of the story

Authors:Manuel Kauers, Jakob Moosbauer
Download PDF

    Abstract: In response to a recent Nature article which announced
    an algorithm for multiplying $5\times5$-matrices over $\mathbb{Z}
    _2$ with only 96 multiplications, two fewer than the previous
    record, we present an algorithm that does the job with only 95
    multiplications.

Subjects: Symbolic Computation (cs.SC); Computational Complexity
          (cs.CC)
Cite as:  arXiv:2210.04045 [cs.SC]
          (or arXiv:2210.04045v2 [cs.SC] for this version)
          https://doi.org/10.48550/arXiv.2210.04045
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Manuel Kauers [view email]
[v1] Sat, 8 Oct 2022 15:04:25 UTC (6 KB)
[v2] Tue, 11 Oct 2022 04:28:00 UTC (6 KB)
Full-text links:

Download:

  * PDF
  * PostScript
  * Other formats

(license)
Current browse context:
cs.SC
< prev   |   next >
new | recent | 2210
Change to browse by:
cs
cs.CC

References & Citations

  * NASA ADS
  * Google Scholar
  * Semantic Scholar

a export bibtex citation Loading...

Bibtex formatted citation

x
[loading...          ]
Data provided by:

Bookmark

BibSonomy logo Mendeley logo Reddit logo ScienceWISE logo
(*) Bibliographic Tools

Bibliographic and Citation Tools

[ ] Bibliographic Explorer Toggle
Bibliographic Explorer (What is the Explorer?)
[ ] Litmaps Toggle
Litmaps (What is Litmaps?)
[ ] scite.ai Toggle
scite Smart Citations (What are Smart Citations?)
( ) Code & Data

Code and Data Associated with this Article

[ ] arXiv Links to Code Toggle
arXiv Links to Code & Data (What is Links to Code & Data?)
( ) Demos

Demos

[ ] Replicate Toggle
Replicate (What is Replicate?)
( ) Related Papers

Recommenders and Search Tools

[ ] Connected Papers Toggle
Connected Papers (What is Connected Papers?)
[ ] Core recommender toggle
CORE Recommender (What is CORE?)
( ) About arXivLabs

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and
share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have
embraced and accepted our values of openness, community, excellence,
and user data privacy. arXiv is committed to these values and only
works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community?
Learn more about arXivLabs and how to get involved.

Which authors of this paper are endorsers? | Disable MathJax (What is
MathJax?)

  * About
  * Help

  * Click here to contact arXiv Contact
  * Click here to subscribe Subscribe

  * Copyright
  * Privacy Policy

  * Web Accessibility Assistance
  * arXiv Operational Status
    Get status notifications via email or slack