Information on Result #640670
Linear OA(9142, 164, F9, 92) (dual of [164, 22, 93]-code), using concatenation of two codes based on
- linear OA(8130, 41, F81, 30) (dual of [41, 11, 31]-code or 41-arc in PG(29,81)), using
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
- Reed–Solomon code RS(51,81) [i]
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), 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(9142, 164, F9, 91) (dual of [164, 22, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9141, 163, F9, 91) (dual of [163, 22, 92]-code) | [i] | Truncation | |
| 3 | Linear OA(9140, 162, F9, 90) (dual of [162, 22, 91]-code) | [i] | ||
| 4 | Linear OA(9139, 161, F9, 89) (dual of [161, 22, 90]-code) | [i] | ||
| 5 | Linear OA(9137, 159, F9, 87) (dual of [159, 22, 88]-code) | [i] | ||
| 6 | Linear OOA(9142, 82, F9, 2, 92) (dual of [(82, 2), 22, 93]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9142, 54, F9, 3, 92) (dual of [(54, 3), 20, 93]-NRT-code) | [i] | ||