Information on Result #640640
Linear OA(9126, 144, F9, 83) (dual of [144, 18, 84]-code), using concatenation of two codes based on
- linear OA(8127, 36, F81, 27) (dual of [36, 9, 28]-code or 36-arc in PG(26,81)), using
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
- Reed–Solomon code RS(54,81) [i]
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), 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(9126, 144, F9, 82) (dual of [144, 18, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9125, 143, F9, 82) (dual of [143, 18, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(9124, 142, F9, 81) (dual of [142, 18, 82]-code) | [i] | ||
| 4 | Linear OA(9123, 141, F9, 80) (dual of [141, 18, 81]-code) | [i] | ||
| 5 | Linear OA(9121, 139, F9, 78) (dual of [139, 18, 79]-code) | [i] | ||
| 6 | Linear OOA(9126, 72, F9, 2, 83) (dual of [(72, 2), 18, 84]-NRT-code) | [i] | OOA Folding | |