Information on Result #640618
Linear OA(9122, 144, F9, 77) (dual of [144, 22, 78]-code), using concatenation of two codes based on
- linear OA(8125, 36, F81, 25) (dual of [36, 11, 26]-code or 36-arc in PG(24,81)), using
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
- Reed–Solomon code RS(56,81) [i]
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), 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(9122, 144, F9, 76) (dual of [144, 22, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9121, 143, F9, 76) (dual of [143, 22, 77]-code) | [i] | Truncation | |
| 3 | Linear OA(9120, 142, F9, 75) (dual of [142, 22, 76]-code) | [i] | ||
| 4 | Linear OA(9119, 141, F9, 74) (dual of [141, 22, 75]-code) | [i] | ||
| 5 | Linear OA(9117, 139, F9, 72) (dual of [139, 22, 73]-code) | [i] | ||
| 6 | Linear OOA(9122, 72, F9, 2, 77) (dual of [(72, 2), 22, 78]-NRT-code) | [i] | OOA Folding | |