Information on Result #640755
Linear OA(9146, 156, F9, 109) (dual of [156, 10, 110]-code), using concatenation of two codes based on
- linear OA(8121, 26, F81, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- Reed–Solomon code RS(60,81) [i]
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- linear OA(94, 6, F9, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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(9146, 156, F9, 108) (dual of [156, 10, 109]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9145, 155, F9, 108) (dual of [155, 10, 109]-code) | [i] | Truncation | |
| 3 | Linear OA(9144, 154, F9, 107) (dual of [154, 10, 108]-code) | [i] | ||
| 4 | Linear OA(9143, 153, F9, 106) (dual of [153, 10, 107]-code) | [i] | ||
| 5 | Linear OA(9141, 151, F9, 104) (dual of [151, 10, 105]-code) | [i] | ||
| 6 | Linear OOA(9146, 78, F9, 2, 109) (dual of [(78, 2), 10, 110]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9146, 52, F9, 3, 109) (dual of [(52, 3), 10, 110]-NRT-code) | [i] | ||