Information on Result #726072
Linear OA(2757, 728, F27, 30) (dual of [728, 671, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,27}, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2771, 760, F27, 32) (dual of [760, 689, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2774, 763, F27, 33) (dual of [763, 689, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2778, 768, F27, 34) (dual of [768, 690, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(2777, 766, F27, 34) (dual of [766, 689, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(2781, 771, F27, 35) (dual of [771, 690, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(2780, 769, F27, 35) (dual of [769, 689, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(2784, 774, F27, 36) (dual of [774, 690, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(2783, 772, F27, 36) (dual of [772, 689, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(2787, 777, F27, 37) (dual of [777, 690, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(2786, 775, F27, 37) (dual of [775, 689, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2791, 780, F27, 38) (dual of [780, 689, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(2790, 778, F27, 38) (dual of [778, 688, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(2790, 780, F27, 38) (dual of [780, 690, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(2789, 778, F27, 38) (dual of [778, 689, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(2794, 783, F27, 39) (dual of [783, 689, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(2793, 781, F27, 39) (dual of [781, 688, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(2797, 784, F27, 40) (dual of [784, 687, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(2793, 783, F27, 39) (dual of [783, 690, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(2792, 781, F27, 39) (dual of [781, 689, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(2797, 786, F27, 40) (dual of [786, 689, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(2796, 784, F27, 40) (dual of [784, 688, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(2796, 786, F27, 40) (dual of [786, 690, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(2795, 784, F27, 40) (dual of [784, 689, 41]-code) | [i] | ✔ | |