Information on Result #636994
Linear OA(4228, 315, F4, 104) (dual of [315, 87, 105]-code), using concatenation of two codes based on
- linear OA(6434, 63, F64, 34) (dual of [63, 29, 35]-code or 63-arc in PG(33,64)), using
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
- Reed–Solomon code RS(30,64) [i]
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), 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(4228, 315, F4, 103) (dual of [315, 87, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4229, 316, F4, 104) (dual of [316, 87, 105]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4227, 314, F4, 103) (dual of [314, 87, 104]-code) | [i] | Truncation | |
| 4 | Linear OA(4226, 313, F4, 102) (dual of [313, 87, 103]-code) | [i] | ||
| 5 | Linear OOA(4228, 157, F4, 2, 104) (dual of [(157, 2), 86, 105]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4228, 105, F4, 3, 104) (dual of [(105, 3), 87, 105]-NRT-code) | [i] | ||