Information on Result #1117011
Linear OOA(369, 2796733, F3, 5, 6) (dual of [(2796733, 5), 13983596, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(39, 532, F3, 5, 3) (dual of [(532, 5), 2651, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(39, 532, F3, 3, 3) (dual of [(532, 3), 1587, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(39, 532, F3, 2, 3) (dual of [(532, 2), 1055, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(39, 532, F3, 3, 3) (dual of [(532, 3), 1587, 4]-NRT-code), using
- linear OOA(360, 2796201, F3, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
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(3245, 6068776, F3, 5, 12) (dual of [(6068776, 5), 30343635, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3249, 6991034, F3, 5, 12) (dual of [(6991034, 5), 34954921, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 6068776, F3, 5, 13) (dual of [(6068776, 5), 30343634, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(369, 2796733, F3, 6, 6) (dual of [(2796733, 6), 16780329, 7]-NRT-code) | [i] | Appending kth Column | |