Information on Result #637082
Linear OA(4237, 315, F4, 113) (dual of [315, 78, 114]-code), using concatenation of two codes based on
- linear OA(6437, 63, F64, 37) (dual of [63, 26, 38]-code or 63-arc in PG(36,64)), using
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), using
- Reed–Solomon code RS(27,64) [i]
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [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(4237, 315, F4, 112) (dual of [315, 78, 113]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4238, 316, F4, 113) (dual of [316, 78, 114]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4236, 314, F4, 112) (dual of [314, 78, 113]-code) | [i] | Truncation | |
| 4 | Linear OA(4235, 313, F4, 111) (dual of [313, 78, 112]-code) | [i] | ||
| 5 | Linear OOA(4237, 157, F4, 2, 113) (dual of [(157, 2), 77, 114]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4237, 105, F4, 3, 113) (dual of [(105, 3), 78, 114]-NRT-code) | [i] | ||