Information on Result #912425
Linear OOA(3111, 66, F3, 2, 63) (dual of [(66, 2), 21, 64]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2715, 22, F27, 15) (dual of [22, 7, 16]-code or 22-arc in PG(14,27)), using
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- Reed–Solomon code RS(12,27) [i]
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- linear OOA(33, 3, F3, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,3) [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 OOA(3111, 66, F3, 2, 62) (dual of [(66, 2), 21, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3109, 65, F3, 2, 61) (dual of [(65, 2), 21, 62]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3111, 33, F3, 4, 63) (dual of [(33, 4), 21, 64]-NRT-code) | [i] | OOA Folding | |