Information on Result #641771
Linear OA(985, 89, F9, 75) (dual of [89, 4, 76]-code), using juxtaposition based on
- linear OA(93, 7, F9, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- linear OA(978, 82, F9, 71) (dual of [82, 4, 72]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(985, 89, F9, 74) (dual of [89, 4, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(985, 89, F9, 73) (dual of [89, 4, 74]-code) | [i] | ||
| 3 | Linear OA(992, 96, F9, 79) (dual of [96, 4, 80]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(993, 97, F9, 80) (dual of [97, 4, 81]-code) | [i] | ||