Information on Result #617877
Linear OA(2792, 729, F27, 48) (dual of [729, 637, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48
Mode: Constructive and linear.
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 OA(2794, 731, F27, 49) (dual of [731, 637, 50]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2792, 731, F27, 48) (dual of [731, 639, 49]-code) | [i] | ✔ | |
| 3 | Linear OA(2797, 734, F27, 50) (dual of [734, 637, 51]-code) | [i] | ✔ | |
| 4 | Linear OA(2793, 734, F27, 48) (dual of [734, 641, 49]-code) | [i] | ✔ | |
| 5 | Linear OA(27100, 737, F27, 51) (dual of [737, 637, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(2794, 737, F27, 48) (dual of [737, 643, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(27103, 740, F27, 52) (dual of [740, 637, 53]-code) | [i] | ✔ | |
| 8 | Linear OA(2795, 740, F27, 48) (dual of [740, 645, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(27106, 743, F27, 53) (dual of [743, 637, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(2796, 743, F27, 48) (dual of [743, 647, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(27110, 747, F27, 55) (dual of [747, 637, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(2797, 746, F27, 48) (dual of [746, 649, 49]-code) | [i] | ✔ | |
| 13 | Linear OA(2798, 749, F27, 48) (dual of [749, 651, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(2799, 752, F27, 48) (dual of [752, 653, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(27100, 755, F27, 48) (dual of [755, 655, 49]-code) | [i] | ✔ | |
| 16 | Linear OA(27101, 757, F27, 48) (dual of [757, 656, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(27102, 759, F27, 48) (dual of [759, 657, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(27103, 762, F27, 48) (dual of [762, 659, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(27104, 765, F27, 48) (dual of [765, 661, 49]-code) | [i] | ✔ | |
| 20 | Linear OA(27105, 767, F27, 48) (dual of [767, 662, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(27106, 769, F27, 48) (dual of [769, 663, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(27107, 772, F27, 48) (dual of [772, 665, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(27108, 775, F27, 48) (dual of [775, 667, 49]-code) | [i] | ✔ | |
| 24 | Linear OA(27109, 777, F27, 48) (dual of [777, 668, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(27110, 779, F27, 48) (dual of [779, 669, 49]-code) | [i] | ✔ | |