Information on Result #641452
Linear OA(8133, 137, F8, 115) (dual of [137, 4, 116]-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(8126, 130, F8, 111) (dual of [130, 4, 112]-code), using
- repeating each code word 2 times [i] based on linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
- projective code from ovoid in PG(3, 8) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- repeating each code word 2 times [i] based on linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-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(8133, 137, F8, 114) (dual of [137, 4, 115]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8133, 137, F8, 113) (dual of [137, 4, 114]-code) | [i] | ||
| 3 | Linear OA(8133, 137, F8, 112) (dual of [137, 4, 113]-code) | [i] | ||
| 4 | Linear OA(8133, 137, F8, 111) (dual of [137, 4, 112]-code) | [i] | ||
| 5 | Linear OA(8141, 145, F8, 120) (dual of [145, 4, 121]-code) | [i] | Juxtaposition | |