Information on Result #900429
Linear OOA(2740, 8388602, F27, 2, 7) (dual of [(8388602, 2), 16777164, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, large, F27, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(279, large, F27, 3) (dual of [large, large−9, 4]-code), using
- linear OOA(2731, 4194301, F27, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-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(2742, large, F27, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2744, large, F27, 2, 7) | [i] | ||
| 3 | Linear OOA(2746, large, F27, 2, 7) | [i] | ||
| 4 | Linear OOA(2748, large, F27, 2, 7) | [i] | ||
| 5 | Linear OOA(2750, large, F27, 2, 7) | [i] | ||
| 6 | Linear OOA(2752, large, F27, 2, 7) | [i] | ||
| 7 | Linear OOA(2754, large, F27, 2, 7) | [i] | ||
| 8 | Linear OOA(2756, large, F27, 2, 7) | [i] | ||
| 9 | Linear OOA(2758, large, F27, 2, 7) | [i] | ||
| 10 | Linear OOA(2760, large, F27, 2, 7) | [i] | ||
| 11 | Linear OOA(2762, large, F27, 2, 7) | [i] | ||
| 12 | Linear OOA(2764, large, F27, 2, 7) | [i] | ||
| 13 | Linear OOA(2766, large, F27, 2, 7) | [i] | ||
| 14 | Linear OOA(2768, large, F27, 2, 7) | [i] | ||
| 15 | Linear OOA(2770, large, F27, 2, 7) | [i] | ||
| 16 | Linear OOA(2772, large, F27, 2, 7) | [i] | ||
| 17 | Linear OOA(2774, large, F27, 2, 7) | [i] | ||
| 18 | Linear OOA(2776, large, F27, 2, 7) | [i] | ||
| 19 | Linear OOA(2778, large, F27, 2, 7) | [i] | ||
| 20 | Linear OOA(2780, large, F27, 2, 7) | [i] | ||
| 21 | Linear OOA(2782, large, F27, 2, 7) | [i] | ||
| 22 | Linear OOA(2784, large, F27, 2, 7) | [i] | ||
| 23 | Linear OOA(2786, large, F27, 2, 7) | [i] | ||
| 24 | Linear OOA(2788, large, F27, 2, 7) | [i] | ||
| 25 | Linear OOA(2790, large, F27, 2, 7) | [i] | ||
| 26 | Linear OOA(2792, large, F27, 2, 7) | [i] | ||
| 27 | Linear OOA(2794, large, F27, 2, 7) | [i] | ||
| 28 | Linear OOA(2796, large, F27, 2, 7) | [i] | ||
| 29 | Linear OOA(2798, large, F27, 2, 7) | [i] | ||
| 30 | Linear OOA(27100, large, F27, 2, 7) | [i] | ||
| 31 | Linear OOA(27102, large, F27, 2, 7) | [i] | ||
| 32 | Linear OOA(27104, large, F27, 2, 7) | [i] | ||
| 33 | Linear OOA(27106, large, F27, 2, 7) | [i] | ||
| 34 | Linear OOA(27108, large, F27, 2, 7) | [i] | ||
| 35 | Linear OOA(27110, large, F27, 2, 7) | [i] | ||
| 36 | Linear OOA(2741, 8388602, F27, 2, 7) (dual of [(8388602, 2), 16777163, 8]-NRT-code) | [i] | OOA Duplication | |
| 37 | Linear OOA(2740, 4194300, F27, 10, 7) (dual of [(4194300, 10), 41942960, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |