Information on Result #726636
Linear OA(2759, 728, F27, 30) (dual of [728, 669, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {4,5,…,33}, and designed minimum distance d ≥ |I|+1 = 31
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2759, 389, F27, 2, 30) (dual of [(389, 2), 719, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (29, 59, 389)-net over F27 | [i] | ||
| 3 | Linear OA(2794, 774, F27, 41) (dual of [774, 680, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2793, 772, F27, 41) (dual of [772, 679, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2789, 768, F27, 40) (dual of [768, 679, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(2792, 770, F27, 41) (dual of [770, 678, 42]-code) | [i] | ✔ | |