Information on Result #642396
Linear OA(16128, 131, F16, 120) (dual of [131, 3, 121]-code), using juxtaposition based on
- linear OA(168, 11, F16, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OA(16117, 120, F16, 111) (dual of [120, 3, 112]-code), using
- Denniston code D(3,16) [i]
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(16128, 131, F16, 119) (dual of [131, 3, 120]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16128, 131, F16, 118) (dual of [131, 3, 119]-code) | [i] | ||
| 3 | Linear OA(16128, 131, F16, 117) (dual of [131, 3, 118]-code) | [i] | ||
| 4 | Linear OA(16128, 131, F16, 116) (dual of [131, 3, 117]-code) | [i] | ||
| 5 | Linear OOA(16128, 65, F16, 2, 120) (dual of [(65, 2), 2, 121]-NRT-code) | [i] | OOA Folding | |