On Perfect Ternary Constant Weight Codes |
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Authors: | Jack van Lint Ludo Tolhuizen |
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Institution: | (1) Stan Ackermans Institute, Eindhoven University of Technology, Eindhoven, the Netherlands;(2) Philips Research Laboratories, Eindhoven, the Netherlands |
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Abstract: | We consider the space of ternary words of length n and fixed weight w with the usual Hamming distance. A sequence of perfect single error correcting codes in this space is constructed. We prove the nonexistence of such codes with other parameters than those of the sequence. |
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Keywords: | constant weight code perfect code |
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