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A class of perfect ternary constant-weight codes
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering.
1999 (English)In: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 18, no 1-3, 223-229 p.Article in journal (Refereed) Published
Abstract [en]

We construct a class of perfect ternary constant-weight codes of length 2(r), weight 2(r)-1 and minimum distance 3. The codes have 2(2r)-1 codewords. The construction is based on combining cosets of binary Hamming codes. As a special case, for r=2 the construction gives the subcode of the tetracode consisting of its nonzero codewords. By shortening the perfect codes, we get further optimal codes.

Place, publisher, year, edition, pages
1999. Vol. 18, no 1-3, 223-229 p.
Keyword [en]
ternary constant-weight codes, optimal nonlinear codes, perfect codes
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-49864OAI: oai:DiVA.org:liu-49864DiVA: diva2:270760
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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Svanström, Mattias

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