Information on Result #661623
Linear OA(8153, 157, F8, 131) (dual of [157, 4, 132]-code), using juxtaposition based on
- linear OA(83, 7, F8, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,8) or 7-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- linear OA(8146, 150, F8, 127) (dual of [150, 4, 128]-code), using
- repeating each code word 2 times [i] based on linear OA(871, 75, F8, 63) (dual of [75, 4, 64]-code), 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(8153, 157, F8, 130) (dual of [157, 4, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8153, 157, F8, 129) (dual of [157, 4, 130]-code) | [i] | ||
| 3 | Linear OA(8153, 157, F8, 128) (dual of [157, 4, 129]-code) | [i] | ||
| 4 | Linear OA(8153, 157, F8, 127) (dual of [157, 4, 128]-code) | [i] | ||