Information on Result #864942
Linear OOA(2716, 4194301, F27, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using OOA 2-folding based on linear OA(2716, 8388602, F27, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2716, large, F27, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2717, 4194301, F27, 2, 4) (dual of [(4194301, 2), 8388585, 5]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2718, 4194329, F27, 2, 4) (dual of [(4194329, 2), 8388640, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2719, 4195058, F27, 2, 4) (dual of [(4195058, 2), 8390097, 5]-NRT-code) | [i] | ||
| 4 | Linear OOA(2720, 4214741, F27, 2, 4) (dual of [(4214741, 2), 8429462, 5]-NRT-code) | [i] | ||
| 5 | Linear OOA(2721, 4746182, F27, 2, 4) (dual of [(4746182, 2), 9492343, 5]-NRT-code) | [i] | ||
| 6 | Linear OOA(2722, 8388602, F27, 2, 4) (dual of [(8388602, 2), 16777182, 5]-NRT-code) | [i] | ||
| 7 | Linear OOA(2752, 8388602, F27, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(2757, 8388602, F27, 2, 9) (dual of [(8388602, 2), 16777147, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(2723, large, F27, 2, 4) | [i] | Generalized (u, u+v)-Construction for OOAs | |