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Linear maps of perfect codes and irregular C-partitions
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2015 (English)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 338, no 3, 149-163 p.Article in journal (Refereed) Published
Abstract [en]

The concept of an irregular C-partition of binary space into perfect 1-error-correcting codes is defined. Three distinct constructions of irregular C-partitions are presented. The relation between irregular C-partitions and linear maps, that map perfect codes to perfect codes, is discussed

Place, publisher, year, edition, pages
2015. Vol. 338, no 3, 149-163 p.
Keyword [en]
Perfect binary codes, Linear equivalence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-159965DOI: 10.1016/j.disc.2014.10.021ISI: 000347861600016Scopus ID: 2-s2.0-84913546386OAI: oai:DiVA.org:kth-159965DiVA: diva2:793166
Note

QC 20150306

Available from: 2015-03-06 Created: 2015-02-12 Last updated: 2017-12-04Bibliographically approved

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