On perfect codes in the Johnson scheme (Q2717200)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On perfect codes in the Johnson scheme |
scientific article; zbMATH DE number 1604777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On perfect codes in the Johnson scheme |
scientific article; zbMATH DE number 1604777 |
Statements
18 September 2001
0 references
perfect codes
0 references
Johnson association scheme
0 references
parameters
0 references
On perfect codes in the Johnson scheme (English)
0 references
In 1973 P. Delsarte conjectured that no nontrivial perfect codes exist in the Johnson association scheme. Up to date, this conjecture remains open although in the last 25 years some important results were proved. NEWLINENEWLINENEWLINEIn the paper under review the author surveys the parameters for which the nonexistence of perfect codes is known and shows some new results excluding other sets of parameters.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00079].
0 references
