Information on Result #726657
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 = {7,8,…,36}, 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(2797, 783, F27, 41) (dual of [783, 686, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2796, 781, F27, 41) (dual of [781, 685, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2792, 777, F27, 40) (dual of [777, 685, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(27100, 783, F27, 42) (dual of [783, 683, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2799, 781, F27, 42) (dual of [781, 682, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(2795, 779, F27, 41) (dual of [779, 684, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2798, 779, F27, 42) (dual of [779, 681, 43]-code) | [i] | ✔ | |