Information on Result #640734
Linear OA(9150, 160, F9, 111) (dual of [160, 10, 112]-code), using concatenation of two codes based on
- linear OA(8127, 32, F81, 27) (dual of [32, 5, 28]-code or 32-arc in PG(26,81)), using
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
- Reed–Solomon code RS(54,81) [i]
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), 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(9150, 160, F9, 110) (dual of [160, 10, 111]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9149, 159, F9, 110) (dual of [159, 10, 111]-code) | [i] | Truncation | |
| 3 | Linear OOA(9150, 80, F9, 2, 111) (dual of [(80, 2), 10, 112]-NRT-code) | [i] | OOA Folding | |