Information on Result #2207248
Linear OA(4237, 315, F4, 112) (dual of [315, 78, 113]-code), using strength reduction based on linear OA(4237, 315, F4, 113) (dual of [315, 78, 114]-code), using
- concatenation of two codes [i] 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]
- linear OA(6437, 63, F64, 37) (dual of [63, 26, 38]-code or 63-arc in PG(36,64)), 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(4236, 314, F4, 111) (dual of [314, 78, 112]-code) | [i] | Truncation | |
| 2 | Linear OOA(4237, 105, F4, 3, 112) (dual of [(105, 3), 78, 113]-NRT-code) | [i] | OOA Folding | |