Information on Result #725909
Linear OA(2744, 728, F27, 22) (dual of [728, 684, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {6,7,…,27}, and designed minimum distance d ≥ |I|+1 = 23
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2744, 373, F27, 2, 22) (dual of [(373, 2), 702, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 44, 373)-net over F27 | [i] | ||
| 3 | Linear OA(2766, 768, F27, 27) (dual of [768, 702, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2767, 769, F27, 28) (dual of [769, 702, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(2777, 760, F27, 35) (dual of [760, 683, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(2780, 763, F27, 36) (dual of [763, 683, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2784, 768, F27, 37) (dual of [768, 684, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2783, 766, F27, 37) (dual of [766, 683, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2787, 771, F27, 38) (dual of [771, 684, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(2786, 769, F27, 38) (dual of [769, 683, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(2790, 774, F27, 39) (dual of [774, 684, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2789, 772, F27, 39) (dual of [772, 683, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(2793, 777, F27, 40) (dual of [777, 684, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(2792, 775, F27, 40) (dual of [775, 683, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(2796, 780, F27, 41) (dual of [780, 684, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(2795, 778, F27, 41) (dual of [778, 683, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(2799, 780, F27, 42) (dual of [780, 681, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(2798, 778, F27, 42) (dual of [778, 680, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(2799, 783, F27, 42) (dual of [783, 684, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(2798, 781, F27, 42) (dual of [781, 683, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(27102, 783, F27, 43) (dual of [783, 681, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(27101, 781, F27, 43) (dual of [781, 680, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(27102, 786, F27, 43) (dual of [786, 684, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(27101, 784, F27, 43) (dual of [784, 683, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(27105, 786, F27, 44) (dual of [786, 681, 45]-code) | [i] | ✔ | |
| 26 | Linear OA(27104, 784, F27, 44) (dual of [784, 680, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(27107, 784, F27, 45) (dual of [784, 677, 46]-code) | [i] | ✔ | |