Linear Programming Bounds for Codes via a Covering Argument
โ Scribed by Michael Navon; Alex Samorodnitsky
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 289 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0179-5376
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