Information on Result #866400
Linear OOA(2786, 9845, F27, 2, 30) (dual of [(9845, 2), 19604, 31]-NRT-code), using OOA 2-folding based on linear OA(2786, 19690, F27, 30) (dual of [19690, 19604, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- 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(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(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-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(2787, 9845, F27, 2, 30) (dual of [(9845, 2), 19603, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | OOA(27106, 9927, S27, 2, 30) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | OOA(27109, 9961, S27, 2, 30) | [i] | ||
| 4 | Digital (56, 86, 9845)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |