Spectral approach to linear programming bounds on codes
โ Scribed by A. M. Barg; D. Yu. Nogin
- Book ID
- 110179711
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 424 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0032-9460
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An upper bound on permutation codes of length n is given. This bound is a solution of a certain linear programming problem and is based on the well-developed theory of association schemes. Several examples are presented. For instance, the 255 values of the bound for n โค 8 are tabulated. It turns out
Combining linear programming with the Plotkin -Johnson argument for constant weight codes , we derive upper bounds on the size of codes of length n and minimum distance 3 ) these bounds practically coincide with (are slightly better than) the Tieta ยจ va ยจ inen bound . For j fixed and for j proporti