Information on Result #640650
Linear OA(9130, 148, F9, 86) (dual of [148, 18, 87]-code), using concatenation of two codes based on
- linear OA(8128, 37, F81, 28) (dual of [37, 9, 29]-code or 37-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(9130, 148, F9, 85) (dual of [148, 18, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9129, 147, F9, 85) (dual of [147, 18, 86]-code) | [i] | Truncation | |
| 3 | Linear OA(9128, 146, F9, 84) (dual of [146, 18, 85]-code) | [i] | ||
| 4 | Linear OA(9127, 145, F9, 83) (dual of [145, 18, 84]-code) | [i] | ||
| 5 | Linear OA(9125, 143, F9, 81) (dual of [143, 18, 82]-code) | [i] | ||
| 6 | Linear OOA(9130, 74, F9, 2, 86) (dual of [(74, 2), 18, 87]-NRT-code) | [i] | OOA Folding | |