Information on Result #640599
Linear OA(9112, 132, F9, 71) (dual of [132, 20, 72]-code), using concatenation of two codes based on
- linear OA(8123, 33, F81, 23) (dual of [33, 10, 24]-code or 33-arc in PG(22,81)), using
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
- Reed–Solomon code RS(58,81) [i]
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), 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(9112, 132, F9, 70) (dual of [132, 20, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9111, 131, F9, 70) (dual of [131, 20, 71]-code) | [i] | Truncation | |
| 3 | Linear OA(9110, 130, F9, 69) (dual of [130, 20, 70]-code) | [i] | ||
| 4 | Linear OA(9109, 129, F9, 68) (dual of [129, 20, 69]-code) | [i] | ||
| 5 | Linear OOA(9112, 66, F9, 2, 71) (dual of [(66, 2), 20, 72]-NRT-code) | [i] | OOA Folding | |