Information on Result #636670
Linear OA(489, 125, F4, 41) (dual of [125, 36, 42]-code), using concatenation of two codes based on
- linear OA(6413, 25, F64, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(489, 125, F4, 40) (dual of [125, 36, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(488, 124, F4, 40) (dual of [124, 36, 41]-code) | [i] | Truncation | |
| 3 | Linear OOA(489, 62, F4, 2, 41) (dual of [(62, 2), 35, 42]-NRT-code) | [i] | OOA Folding | |