Information on Result #637291
Linear OA(4180, 228, F4, 91) (dual of [228, 48, 92]-code), using concatenation of two codes based on
- linear OA(6422, 38, F64, 22) (dual of [38, 16, 23]-code or 38-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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(4180, 228, F4, 90) (dual of [228, 48, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4179, 227, F4, 90) (dual of [227, 48, 91]-code) | [i] | Truncation | |
| 3 | Linear OA(4178, 226, F4, 89) (dual of [226, 48, 90]-code) | [i] | ||
| 4 | Linear OA(4176, 224, F4, 87) (dual of [224, 48, 88]-code) | [i] | ||
| 5 | Linear OOA(4180, 114, F4, 2, 91) (dual of [(114, 2), 48, 92]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4180, 76, F4, 3, 91) (dual of [(76, 3), 48, 92]-NRT-code) | [i] | ||