Information on Result #2216698
Linear OA(9150, 162, F9, 107) (dual of [162, 12, 108]-code), using strength reduction based on linear OA(9150, 162, F9, 109) (dual of [162, 12, 110]-code), using
- concatenation of two codes [i] based on
- linear OA(8121, 27, F81, 21) (dual of [27, 6, 22]-code or 27-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
- linear OA(8121, 27, F81, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,81)), 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(9149, 161, F9, 106) (dual of [161, 12, 107]-code) | [i] | Truncation | |
| 2 | Linear OOA(9150, 54, F9, 3, 107) (dual of [(54, 3), 12, 108]-NRT-code) | [i] | OOA Folding | |