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On Perfect Ternary Constant Weight Codes
Authors:Jack van Lint  Ludo Tolhuizen
Institution:(1) Stan Ackermans Institute, Eindhoven University of Technology, Eindhoven, the Netherlands;(2) Philips Research Laboratories, Eindhoven, the Netherlands
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.
Keywords:constant weight code  perfect code
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