Information on Result #640644
Linear OA(9142, 172, F9, 86) (dual of [172, 30, 87]-code), using concatenation of two codes based on
- linear OA(8128, 43, F81, 28) (dual of [43, 15, 29]-code or 43-arc in PG(27,81)), using
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
- Reed–Solomon code RS(53,81) [i]
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), 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(9140, 170, F9, 84) (dual of [170, 30, 85]-code) | [i] | Truncation | |
| 2 | Linear OOA(9142, 86, F9, 2, 86) (dual of [(86, 2), 30, 87]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9142, 57, F9, 3, 86) (dual of [(57, 3), 29, 87]-NRT-code) | [i] | ||