Information on Result #640715
Linear OA(9134, 150, F9, 91) (dual of [150, 16, 92]-code), using concatenation of two codes based on
- linear OA(8122, 30, F81, 22) (dual of [30, 8, 23]-code or 30-arc in PG(21,81)), using
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
- Reed–Solomon code RS(59,81) [i]
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), 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(9134, 150, F9, 90) (dual of [150, 16, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9133, 149, F9, 90) (dual of [149, 16, 91]-code) | [i] | Truncation | |
| 3 | Linear OA(9131, 147, F9, 88) (dual of [147, 16, 89]-code) | [i] | ||
| 4 | Linear OA(9130, 146, F9, 87) (dual of [146, 16, 88]-code) | [i] | ||
| 5 | Linear OA(9127, 143, F9, 84) (dual of [143, 16, 85]-code) | [i] | ||
| 6 | Linear OOA(9134, 75, F9, 2, 91) (dual of [(75, 2), 16, 92]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9134, 50, F9, 3, 91) (dual of [(50, 3), 16, 92]-NRT-code) | [i] | ||