Information on Result #637376
Linear OA(4183, 198, F4, 115) (dual of [198, 15, 116]-code), using concatenation of two codes based on
- linear OA(6428, 33, F64, 28) (dual of [33, 5, 29]-code or 33-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- Reed–Solomon code RS(36,64) [i]
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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.
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(4182, 197, F4, 114) (dual of [197, 15, 115]-code) | [i] | Truncation | |
| 2 | Linear OA(4181, 196, F4, 113) (dual of [196, 15, 114]-code) | [i] | ||
| 3 | Linear OA(4180, 195, F4, 112) (dual of [195, 15, 113]-code) | [i] | ||
| 4 | Linear OOA(4183, 99, F4, 2, 115) (dual of [(99, 2), 15, 116]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4183, 66, F4, 3, 115) (dual of [(66, 3), 15, 116]-NRT-code) | [i] | ||