On Perfect Ternary Constant Weight Codes

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.

• Type: Journal
• Year: 1999
• Where: DCC
• Authors: Jack H. van Lint, Ludo M. G. M. Tolhuizen
• Keywords: Computer Graphics, DCC 1999, Perfect Single Error, Ternary Words, Usual Hamming Distance