Information on Result #866475
Linear OOA(2788, 9843, F27, 2, 31) (dual of [(9843, 2), 19598, 32]-NRT-code), using OOA 2-folding based on linear OA(2788, 19686, F27, 31) (dual of [19686, 19598, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(27103, 9871, F27, 2, 31) (dual of [(9871, 2), 19639, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(27104, 9881, F27, 2, 31) (dual of [(9881, 2), 19658, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(27105, 9891, F27, 2, 31) (dual of [(9891, 2), 19677, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(27106, 9895, F27, 2, 31) (dual of [(9895, 2), 19684, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(27107, 9907, F27, 2, 31) (dual of [(9907, 2), 19707, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(27108, 9911, F27, 2, 31) (dual of [(9911, 2), 19714, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(27109, 9919, F27, 2, 31) (dual of [(9919, 2), 19729, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(27110, 9925, F27, 2, 31) (dual of [(9925, 2), 19740, 32]-NRT-code) | [i] | ||
| 9 | OOA(27108, 9925, S27, 2, 31) | [i] | ||
| 10 | OOA(27110, 9943, S27, 2, 31) | [i] | ||
| 11 | Digital (57, 88, 9843)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |