Information on Result #2216701
Linear OA(9150, 168, F9, 100) (dual of [168, 18, 101]-code), using strength reduction based on linear OA(9150, 168, F9, 101) (dual of [168, 18, 102]-code), using
- concatenation of two codes [i] based on
- linear OA(8133, 42, F81, 33) (dual of [42, 9, 34]-code or 42-arc in PG(32,81)), using
- discarding factors / shortening the dual code based on linear OA(8133, 81, F81, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), using
- Reed–Solomon code RS(48,81) [i]
- discarding factors / shortening the dual code based on linear OA(8133, 81, F81, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), 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
- linear OA(8133, 42, F81, 33) (dual of [42, 9, 34]-code or 42-arc in PG(32,81)), 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, 167, F9, 99) (dual of [167, 18, 100]-code) | [i] | Truncation | |
| 2 | Linear OOA(9150, 84, F9, 2, 100) (dual of [(84, 2), 18, 101]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9150, 56, F9, 3, 100) (dual of [(56, 3), 18, 101]-NRT-code) | [i] | ||