A Class of Perfect Ternary Constant-Weight Codes |
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| Authors: | Mattias Svanström |
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| Institution: | (1) Department of Electrical Engineering, Linköping University, SE-581 83 Linköping, Sweden |
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| Abstract: | 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
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. |
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| Keywords: | Ternary constant-weight codes optimal nonlinear codes perfect codes |
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