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ON LINEAR EQUIVALENCE AND PHELPS CODES
KTH.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2010 (English)In: ADVANCES IN MATHEMATICS OF COMMUNICATIONS, ISSN 1930-5346, Vol. 4, no 1, 69-81 p.Article in journal (Refereed) Published
Abstract [en]

It is shown that all non-full-rank FRH-codes, a class of perfect codes we define in this paper, are linearly equivalent to perfect codes obtainable by Phelps construction. Moreover, it is shown by an example that the class of perfect FRH-codes also contains perfect codes that are not obtainable by Phelps construction.

Place, publisher, year, edition, pages
2010. Vol. 4, no 1, 69-81 p.
Keyword [en]
Perfect codes, tilings
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-54410DOI: 10.3934/amc.2010.4.69ISI: 000275051900005OAI: oai:DiVA.org:liu-54410DiVA: diva2:303511
Available from: 2010-03-12 Created: 2010-03-12 Last updated: 2010-03-12

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Hessler, Martin

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