Information on Result #695574
Linear OA(2745, 729, F27, 23) (dual of [729, 684, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,22], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2747, 731, F27, 24) (dual of [731, 684, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2745, 731, F27, 23) (dual of [731, 686, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(2753, 737, F27, 26) (dual of [737, 684, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(2747, 737, F27, 23) (dual of [737, 690, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2757, 741, F27, 28) (dual of [741, 684, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(2759, 743, F27, 29) (dual of [743, 684, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2749, 743, F27, 23) (dual of [743, 694, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(2762, 746, F27, 30) (dual of [746, 684, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(2765, 749, F27, 31) (dual of [749, 684, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2751, 749, F27, 23) (dual of [749, 698, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2768, 752, F27, 32) (dual of [752, 684, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(2771, 755, F27, 33) (dual of [755, 684, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2753, 755, F27, 23) (dual of [755, 702, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(2774, 757, F27, 34) (dual of [757, 683, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(2775, 759, F27, 34) (dual of [759, 684, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(2778, 762, F27, 35) (dual of [762, 684, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(2756, 762, F27, 23) (dual of [762, 706, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2781, 765, F27, 36) (dual of [765, 684, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(2784, 767, F27, 37) (dual of [767, 683, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(2785, 769, F27, 37) (dual of [769, 684, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(2788, 772, F27, 38) (dual of [772, 684, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(2791, 775, F27, 39) (dual of [775, 684, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(2794, 777, F27, 40) (dual of [777, 683, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(2795, 779, F27, 40) (dual of [779, 684, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(2798, 781, F27, 41) (dual of [781, 683, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(2799, 783, F27, 41) (dual of [783, 684, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(27102, 786, F27, 42) (dual of [786, 684, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(27105, 789, F27, 43) (dual of [789, 684, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(27108, 792, F27, 44) (dual of [792, 684, 45]-code) | [i] | ✔ | |