Information on Result #640722
Linear OA(9133, 145, F9, 95) (dual of [145, 12, 96]-code), using concatenation of two codes based on
- linear OA(8123, 29, F81, 23) (dual of [29, 6, 24]-code or 29-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(93, 5, F9, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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(9133, 145, F9, 94) (dual of [145, 12, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9133, 145, F9, 93) (dual of [145, 12, 94]-code) | [i] | ||
| 3 | Linear OA(9131, 143, F9, 93) (dual of [143, 12, 94]-code) | [i] | Truncation | |
| 4 | Linear OA(9130, 142, F9, 92) (dual of [142, 12, 93]-code) | [i] | ||
| 5 | Linear OA(9129, 141, F9, 91) (dual of [141, 12, 92]-code) | [i] | ||
| 6 | Linear OA(9127, 139, F9, 89) (dual of [139, 12, 90]-code) | [i] | ||
| 7 | Linear OA(9126, 138, F9, 88) (dual of [138, 12, 89]-code) | [i] | ||
| 8 | Linear OA(9125, 137, F9, 87) (dual of [137, 12, 88]-code) | [i] | ||
| 9 | Linear OA(9122, 134, F9, 84) (dual of [134, 12, 85]-code) | [i] | ||