Information on Result #617792
Linear OA(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(27106, 10511, F27, 2, 37) (dual of [(10511, 2), 20916, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (69, 106, 10511)-net over F27 | [i] | ||
| 3 | Linear OA(27109, 19686, F27, 38) (dual of [19686, 19577, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(27106, 19686, F27, 37) (dual of [19686, 19580, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(27107, 19690, F27, 37) (dual of [19690, 19583, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(27108, 19694, F27, 37) (dual of [19694, 19586, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(27109, 19698, F27, 37) (dual of [19698, 19589, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(27110, 19702, F27, 37) (dual of [19702, 19592, 38]-code) | [i] | ✔ | |
| 9 | Linear OOA(27106, 1093, F27, 37, 37) (dual of [(1093, 37), 40335, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |