Information on Result #640597
Linear OA(9116, 140, F9, 71) (dual of [140, 24, 72]-code), using concatenation of two codes based on
- linear OA(8123, 35, F81, 23) (dual of [35, 12, 24]-code or 35-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(9116, 140, F9, 70) (dual of [140, 24, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9115, 139, F9, 70) (dual of [139, 24, 71]-code) | [i] | Truncation | |
| 3 | Linear OA(9113, 137, F9, 68) (dual of [137, 24, 69]-code) | [i] | ||
| 4 | Linear OOA(9116, 70, F9, 2, 71) (dual of [(70, 2), 24, 72]-NRT-code) | [i] | OOA Folding | |