Information on Result #866322
Linear OOA(2782, 9843, F27, 2, 29) (dual of [(9843, 2), 19604, 30]-NRT-code), using OOA 2-folding based on linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(2783, 9843, F27, 2, 29) (dual of [(9843, 2), 19603, 30]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2796, 9871, F27, 2, 29) (dual of [(9871, 2), 19646, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2797, 9881, F27, 2, 29) (dual of [(9881, 2), 19665, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2798, 9891, F27, 2, 29) (dual of [(9891, 2), 19684, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2799, 9895, F27, 2, 29) (dual of [(9895, 2), 19691, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(27100, 9907, F27, 2, 29) (dual of [(9907, 2), 19714, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(27101, 9911, F27, 2, 29) (dual of [(9911, 2), 19721, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(27102, 9919, F27, 2, 29) (dual of [(9919, 2), 19736, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(27103, 9925, F27, 2, 29) (dual of [(9925, 2), 19747, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(27104, 9927, F27, 2, 29) (dual of [(9927, 2), 19750, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(27105, 9931, F27, 2, 29) (dual of [(9931, 2), 19757, 30]-NRT-code) | [i] | ||
| 12 | Linear OOA(27106, 9937, F27, 2, 29) (dual of [(9937, 2), 19768, 30]-NRT-code) | [i] | ||
| 13 | Linear OOA(27107, 9939, F27, 2, 29) (dual of [(9939, 2), 19771, 30]-NRT-code) | [i] | ||
| 14 | Linear OOA(27108, 9945, F27, 2, 29) (dual of [(9945, 2), 19782, 30]-NRT-code) | [i] | ||
| 15 | OOA(27101, 9925, S27, 2, 29) | [i] | ||
| 16 | OOA(27102, 9943, S27, 2, 29) | [i] | ||
| 17 | OOA(27104, 9959, S27, 2, 29) | [i] | ||
| 18 | OOA(27106, 9993, S27, 2, 29) | [i] | ||
| 19 | OOA(27108, 10003, S27, 2, 29) | [i] | ||
| 20 | Digital (53, 82, 9843)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |