Information on Result #617797
Linear OA(27109, 19683, F27, 38) (dual of [19683, 19574, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(27109, 10792, F27, 2, 38) (dual of [(10792, 2), 21475, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (71, 109, 10792)-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(27110, 19690, F27, 38) (dual of [19690, 19580, 39]-code) | [i] | ✔ | |