Information on Result #640646
Linear OA(9138, 164, F9, 86) (dual of [164, 26, 87]-code), using concatenation of two codes based on
- linear OA(8128, 41, F81, 28) (dual of [41, 13, 29]-code or 41-arc in PG(27,81)), using
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
- Reed–Solomon code RS(53,81) [i]
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
- linear OA(92, 4, F9, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9138, 164, F9, 85) (dual of [164, 26, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9137, 163, F9, 85) (dual of [163, 26, 86]-code) | [i] | Truncation | |
| 3 | Linear OA(9136, 162, F9, 84) (dual of [162, 26, 85]-code) | [i] | ||
| 4 | Linear OA(9135, 161, F9, 83) (dual of [161, 26, 84]-code) | [i] | ||
| 5 | Linear OOA(9138, 82, F9, 2, 86) (dual of [(82, 2), 26, 87]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9138, 54, F9, 3, 86) (dual of [(54, 3), 24, 87]-NRT-code) | [i] | ||