Skip to main contentSkip to search
Episciences
Open Access Journals
Sign in(new window)
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Sign in(new window)
Articles & Issues
All articlesAll accepted articlesAll volumesLast volumeSectionsSpecial issuesAuthors
About
The journalIndexing
Boards
Publish
For authorsEthical charter
Submit
Discrete Mathematics & Theoretical Computer Science logo
Contact
|
Credits
eISSN 1365-8050
|
RSS
|
Atom
Episciences
Documentation
|
Acknowledgements
|
Publishing policy
Accessibility: non-compliant
|
Legal mentions
|
Privacy statement
|
Terms of use
  1. Home > Articles & Issues >
  2. Articles >
  3. On Locating-Dominati ...
Article

On Locating-Dominating Codes in Binary Hamming Spaces

Iiro Honkala (1), Tero Laihonen ORCID (1), Sanna Ranto ORCID (1)
(1) Department of Mathematics
Download article
Open on HAL
Imported on
March 26, 2015
Published on
January 1, 2004
Last modified on
March 31, 2025
Volume 6
vol. 6:2
DOI
10.46298/dmtcs.322
License
https://about.hal.science/hal-authorisation-v1
Identification and Error Correction
Indicators
742
Views
939
Downloads

On Locating-Dominating Codes in Binary Hamming Spaces

Iiro Honkala (1), Tero Laihonen ORCID (1), Sanna Ranto ORCID (1)
(1) Department of Mathematics
Abstract
Locating faulty processors in a multiprocessor system gives the motivation for locating-dominating codes. We consider these codes in binary hypercubes and generalize the concept for the situation in which we want to locate more than one malfunctioning processor.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Locating-dominating codes
  • Hamming space
  • Identifying codes
Cited by

Source: OpenCitations

  • Covering codes of a graph associated to a finite vector space

    Ukrains’kyi Matematychnyi Zhurnal

    Authors : M. Murtaza ORCID, I. Javaid ORCID, M. Fazil ORCID

    Journal reference : Volume 72, 2020, pp. 952-959

    DOI : 10.37863/umzh.v72i7.652
  • Optimal Local Identifying and Local Locating-dominating Codes

    Fundamenta Informaticae

    Authors : Pyry Herva ORCID, Tero Laihonen ORCID, Tuomo Lehtilä ORCID

    Journal reference : Volume 191, 2024, pp. 351-378

    DOI : 10.3233/fi-242187
  • Open-independent, open-locating-dominating sets: structural aspects of some classes of graphs

    Discrete Mathematics & Theoretical Computer Science

    Authors : Márcia R. Cappelle ORCID, Erika Coelho ORCID, Les R. Foulds ORCID, Humberto J. Longo ORCID

    Journal reference : Volume vol. 24, no. 1, 2022, pp.

    DOI : 10.46298/dmtcs.8440
  • Codes in the q-ary Lee Hypercube

    WSEAS TRANSACTIONS ON MATHEMATICS

    Authors : Irene Charon, Olivier Hudry, Antoine Lobstein ORCID

    Journal reference : Volume 21, 2022, pp. 173-186

    DOI : 10.37394/23206.2022.21.24
  • Locating-dominating sets in hypergraphs

    Periodica Mathematica Hungarica

    Authors : Muhammad Fazil ORCID, Imran Javaid ORCID, Muhammad Salman ORCID, Usman Ali ORCID

    Journal reference : Volume 72, 2016, pp. 224-234

    DOI : 10.1007/s10998-016-0121-8
  • On $(r,\leq 2)$-locating-dominating codes in the infinite king grid

    Advances in Mathematics of Communications

    Authors : Mikko Pelto

    Journal reference : Volume 6, 2012, pp. 27-38

    DOI : 10.3934/amc.2012.6.27
Preview
Loading PDF preview...