Information on Result #900411
Linear OOA(2735, 8388602, F27, 2, 6) (dual of [(8388602, 2), 16777169, 7]-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(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 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(2737, large, F27, 2, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2739, large, F27, 2, 6) | [i] | ||
| 3 | Linear OOA(2741, large, F27, 2, 6) | [i] | ||
| 4 | Linear OOA(2743, large, F27, 2, 6) | [i] | ||
| 5 | Linear OOA(2745, large, F27, 2, 6) | [i] | ||
| 6 | Linear OOA(2747, large, F27, 2, 6) | [i] | ||
| 7 | Linear OOA(2749, large, F27, 2, 6) | [i] | ||
| 8 | Linear OOA(2751, large, F27, 2, 6) | [i] | ||
| 9 | Linear OOA(2753, large, F27, 2, 6) | [i] | ||
| 10 | Linear OOA(2755, large, F27, 2, 6) | [i] | ||
| 11 | Linear OOA(2757, large, F27, 2, 6) | [i] | ||
| 12 | Linear OOA(2759, large, F27, 2, 6) | [i] | ||
| 13 | Linear OOA(2761, large, F27, 2, 6) | [i] | ||
| 14 | Linear OOA(2763, large, F27, 2, 6) | [i] | ||
| 15 | Linear OOA(2765, large, F27, 2, 6) | [i] | ||
| 16 | Linear OOA(2767, large, F27, 2, 6) | [i] | ||
| 17 | Linear OOA(2769, large, F27, 2, 6) | [i] | ||
| 18 | Linear OOA(2771, large, F27, 2, 6) | [i] | ||
| 19 | Linear OOA(2773, large, F27, 2, 6) | [i] | ||
| 20 | Linear OOA(2775, large, F27, 2, 6) | [i] | ||
| 21 | Linear OOA(2777, large, F27, 2, 6) | [i] | ||
| 22 | Linear OOA(2779, large, F27, 2, 6) | [i] | ||
| 23 | Linear OOA(2781, large, F27, 2, 6) | [i] | ||
| 24 | Linear OOA(2783, large, F27, 2, 6) | [i] | ||
| 25 | Linear OOA(2785, large, F27, 2, 6) | [i] | ||
| 26 | Linear OOA(2787, large, F27, 2, 6) | [i] | ||
| 27 | Linear OOA(2789, large, F27, 2, 6) | [i] | ||
| 28 | Linear OOA(2791, large, F27, 2, 6) | [i] | ||
| 29 | Linear OOA(2793, large, F27, 2, 6) | [i] | ||
| 30 | Linear OOA(2795, large, F27, 2, 6) | [i] | ||
| 31 | Linear OOA(2797, large, F27, 2, 6) | [i] | ||
| 32 | Linear OOA(2799, large, F27, 2, 6) | [i] | ||
| 33 | Linear OOA(27101, large, F27, 2, 6) | [i] | ||
| 34 | Linear OOA(27103, large, F27, 2, 6) | [i] | ||
| 35 | Linear OOA(27105, large, F27, 2, 6) | [i] | ||
| 36 | Linear OOA(27107, large, F27, 2, 6) | [i] | ||
| 37 | Linear OOA(27109, large, F27, 2, 6) | [i] | ||
| 38 | Linear OOA(2736, 8388602, F27, 2, 6) (dual of [(8388602, 2), 16777168, 7]-NRT-code) | [i] | OOA Duplication | |
| 39 | Linear OOA(2735, 4194300, F27, 10, 6) (dual of [(4194300, 10), 41942965, 7]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |