Information on Result #640609
Linear OA(9116, 136, F9, 74) (dual of [136, 20, 75]-code), using concatenation of two codes based on
- linear OA(8124, 34, F81, 24) (dual of [34, 10, 25]-code or 34-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), 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(9116, 136, F9, 73) (dual of [136, 20, 74]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9115, 135, F9, 73) (dual of [135, 20, 74]-code) | [i] | Truncation | |
| 3 | Linear OA(9114, 134, F9, 72) (dual of [134, 20, 73]-code) | [i] | ||
| 4 | Linear OA(9113, 133, F9, 71) (dual of [133, 20, 72]-code) | [i] | ||
| 5 | Linear OA(9111, 131, F9, 69) (dual of [131, 20, 70]-code) | [i] | ||
| 6 | Linear OOA(9116, 68, F9, 2, 74) (dual of [(68, 2), 20, 75]-NRT-code) | [i] | OOA Folding | |