Ternary Constant Weight Codes

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Ternary Constant Weight Codes

Let A3(n, d,w) denote the maximum cardinality of a ternary code with length n, minimum distance d, and constant Hamming weight w. Methods for proving upper and lower bounds on A3(n, d,w) are presented, and a table of exact values and bounds in the range n ≤ 10 is given.

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On Perfect Ternary Constant Weight Codes

We consider the space of ternary words of length n and fixed weightwwith 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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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2002

ISSN: 1077-8926

DOI: 10.37236/1657