Information on Result #617623
Linear OA(2747, 729, F27, 24) (dual of [729, 682, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(2759, 757, F27, 24) (dual of [757, 698, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2760, 767, F27, 24) (dual of [767, 707, 25]-code) | [i] | ||
| 3 | Linear OA(2761, 777, F27, 24) (dual of [777, 716, 25]-code) | [i] | ||
| 4 | Linear OA(2762, 781, F27, 24) (dual of [781, 719, 25]-code) | [i] | ||
| 5 | Linear OA(2763, 793, F27, 24) (dual of [793, 730, 25]-code) | [i] | ||
| 6 | Linear OA(2764, 797, F27, 24) (dual of [797, 733, 25]-code) | [i] | ||
| 7 | Linear OA(2765, 805, F27, 24) (dual of [805, 740, 25]-code) | [i] | ||
| 8 | Linear OA(2766, 811, F27, 24) (dual of [811, 745, 25]-code) | [i] | ||
| 9 | Linear OA(2767, 813, F27, 24) (dual of [813, 746, 25]-code) | [i] | ||
| 10 | Linear OA(2768, 834, F27, 24) (dual of [834, 766, 25]-code) | [i] | ||
| 11 | Linear OA(2766, 749, F27, 24) (dual of [749, 683, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2764, 747, F27, 24) (dual of [747, 683, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2765, 749, F27, 24) (dual of [749, 684, 25]-code) | [i] | ||
| 14 | Linear OA(2766, 751, F27, 24) (dual of [751, 685, 25]-code) | [i] | ||
| 15 | Linear OA(2767, 785, F27, 24) (dual of [785, 718, 25]-code) | [i] | ||
| 16 | Linear OA(2768, 795, F27, 24) (dual of [795, 727, 25]-code) | [i] | ||
| 17 | Linear OA(2749, 731, F27, 25) (dual of [731, 682, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(2747, 731, F27, 24) (dual of [731, 684, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(2752, 734, F27, 26) (dual of [734, 682, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(2748, 734, F27, 24) (dual of [734, 686, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(2756, 738, F27, 28) (dual of [738, 682, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(2749, 737, F27, 24) (dual of [737, 688, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(2758, 740, F27, 29) (dual of [740, 682, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2750, 740, F27, 24) (dual of [740, 690, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(2761, 743, F27, 30) (dual of [743, 682, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(2751, 743, F27, 24) (dual of [743, 692, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(2764, 746, F27, 31) (dual of [746, 682, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(2752, 746, F27, 24) (dual of [746, 694, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(2767, 749, F27, 32) (dual of [749, 682, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(2753, 749, F27, 24) (dual of [749, 696, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(2770, 752, F27, 33) (dual of [752, 682, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(2754, 752, F27, 24) (dual of [752, 698, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(2773, 755, F27, 34) (dual of [755, 682, 35]-code) | [i] | ✔ | |
| 34 | Linear OA(2755, 755, F27, 24) (dual of [755, 700, 25]-code) | [i] | ✔ | |
| 35 | Linear OA(2776, 757, F27, 35) (dual of [757, 681, 36]-code) | [i] | ✔ | |
| 36 | Linear OA(2777, 759, F27, 35) (dual of [759, 682, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2756, 757, F27, 24) (dual of [757, 701, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(2757, 759, F27, 24) (dual of [759, 702, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(2780, 762, F27, 36) (dual of [762, 682, 37]-code) | [i] | ✔ | |
| 40 | Linear OA(2758, 762, F27, 24) (dual of [762, 704, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(2783, 765, F27, 37) (dual of [765, 682, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(2759, 765, F27, 24) (dual of [765, 706, 25]-code) | [i] | ✔ | |
| 43 | Linear OA(2786, 767, F27, 38) (dual of [767, 681, 39]-code) | [i] | ✔ | |
| 44 | Linear OA(2787, 769, F27, 38) (dual of [769, 682, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(2790, 772, F27, 39) (dual of [772, 682, 40]-code) | [i] | ✔ | |
| 46 | Linear OA(2793, 775, F27, 40) (dual of [775, 682, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(2796, 777, F27, 41) (dual of [777, 681, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(2797, 779, F27, 41) (dual of [779, 682, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(27100, 781, F27, 42) (dual of [781, 681, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(27101, 783, F27, 42) (dual of [783, 682, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(27104, 786, F27, 43) (dual of [786, 682, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(27107, 789, F27, 44) (dual of [789, 682, 45]-code) | [i] | ✔ | |
| 53 | Linear OA(27110, 792, F27, 45) (dual of [792, 682, 46]-code) | [i] | ✔ | |