Information on Result #695102
Linear OA(2719, 19683, F27, 7) (dual of [19683, 19664, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2719, 14247, F27, 2, 7) (dual of [(14247, 2), 28475, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (12, 19, 14247)-net over F27 | [i] | ||
| 3 | Linear OA(2722, 19686, F27, 8) (dual of [19686, 19664, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2719, 19686, F27, 7) (dual of [19686, 19667, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(2730, 19694, F27, 10) (dual of [19694, 19664, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(2721, 19694, F27, 7) (dual of [19694, 19673, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2738, 19702, F27, 12) (dual of [19702, 19664, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(2746, 19710, F27, 14) (dual of [19710, 19664, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(2747, 19712, F27, 14) (dual of [19712, 19665, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |