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New optimal constant weight codes. (English) Zbl 1166.94014

Summary: In 2006, D. H. Smith et al. [Electron. J. Comb. 13, No. 1, Research paper A2, 18 p. (2006; Zbl 1165.94329)] published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by filling in 9 missing constant weight codes, all of which are optimal by the second Johnson bound. This completes the tables for \(A(n,16,9)\) and \(A(n,18,10)\) up to \(n=63\) and corrects some \(A(n,14,8)\).

MSC:

94B65 Bounds on codes
05B05 Combinatorial aspects of block designs
94B27 Geometric methods (including applications of algebraic geometry) applied to coding theory

Citations:

Zbl 1165.94329
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