Information on Result #617675
Linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(2767, 757, F27, 28) (dual of [757, 690, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2768, 767, F27, 28) (dual of [767, 699, 29]-code) | [i] | ||
| 3 | Linear OA(2769, 777, F27, 28) (dual of [777, 708, 29]-code) | [i] | ||
| 4 | Linear OA(2770, 781, F27, 28) (dual of [781, 711, 29]-code) | [i] | ||
| 5 | Linear OA(2771, 793, F27, 28) (dual of [793, 722, 29]-code) | [i] | ||
| 6 | Linear OA(2772, 797, F27, 28) (dual of [797, 725, 29]-code) | [i] | ||
| 7 | Linear OA(2773, 805, F27, 28) (dual of [805, 732, 29]-code) | [i] | ||
| 8 | Linear OA(2774, 811, F27, 28) (dual of [811, 737, 29]-code) | [i] | ||
| 9 | Linear OA(2775, 813, F27, 28) (dual of [813, 738, 29]-code) | [i] | ||
| 10 | Linear OA(2776, 817, F27, 28) (dual of [817, 741, 29]-code) | [i] | ||
| 11 | Linear OA(2777, 834, F27, 28) (dual of [834, 757, 29]-code) | [i] | ||
| 12 | Linear OA(2777, 754, F27, 28) (dual of [754, 677, 29]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(2776, 753, F27, 28) (dual of [753, 677, 29]-code) | [i] | ||
| 14 | Linear OA(2772, 749, F27, 28) (dual of [749, 677, 29]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(2773, 751, F27, 28) (dual of [751, 678, 29]-code) | [i] | ||
| 16 | Linear OA(2774, 753, F27, 28) (dual of [753, 679, 29]-code) | [i] | ||
| 17 | Linear OA(2775, 755, F27, 28) (dual of [755, 680, 29]-code) | [i] | ||
| 18 | Linear OA(2776, 785, F27, 28) (dual of [785, 709, 29]-code) | [i] | ||
| 19 | Linear OA(2777, 795, F27, 28) (dual of [795, 718, 29]-code) | [i] | ||
| 20 | Linear OA(2760, 758, F27, 28) (dual of [758, 698, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 21 | Linear OA(2761, 789, F27, 28) (dual of [789, 728, 29]-code) | [i] | ||
| 22 | Linear OA(2762, 846, F27, 28) (dual of [846, 784, 29]-code) | [i] | ||
| 23 | Linear OA(2763, 937, F27, 28) (dual of [937, 874, 29]-code) | [i] | ||
| 24 | Linear OA(2754, 730, F27, 29) (dual of [730, 676, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(2754, 732, F27, 28) (dual of [732, 678, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(2757, 733, F27, 30) (dual of [733, 676, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(2755, 735, F27, 28) (dual of [735, 680, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(2760, 736, F27, 31) (dual of [736, 676, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(2756, 738, F27, 28) (dual of [738, 682, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(2763, 739, F27, 32) (dual of [739, 676, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(2757, 741, F27, 28) (dual of [741, 684, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(2766, 742, F27, 33) (dual of [742, 676, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2758, 744, F27, 28) (dual of [744, 686, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(2769, 745, F27, 34) (dual of [745, 676, 35]-code) | [i] | ✔ | |
| 35 | Linear OA(2759, 747, F27, 28) (dual of [747, 688, 29]-code) | [i] | ✔ | |
| 36 | Linear OA(2772, 748, F27, 35) (dual of [748, 676, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2760, 750, F27, 28) (dual of [750, 690, 29]-code) | [i] | ✔ | |
| 38 | Linear OA(2775, 751, F27, 36) (dual of [751, 676, 37]-code) | [i] | ✔ | |
| 39 | Linear OA(2761, 753, F27, 28) (dual of [753, 692, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(2778, 754, F27, 37) (dual of [754, 676, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(2762, 756, F27, 28) (dual of [756, 694, 29]-code) | [i] | ✔ | |
| 42 | Linear OA(2781, 757, F27, 38) (dual of [757, 676, 39]-code) | [i] | ✔ | |
| 43 | Linear OA(2764, 760, F27, 28) (dual of [760, 696, 29]-code) | [i] | ✔ | |
| 44 | Linear OA(2785, 761, F27, 39) (dual of [761, 676, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(2765, 763, F27, 28) (dual of [763, 698, 29]-code) | [i] | ✔ | |
| 46 | Linear OA(2788, 764, F27, 40) (dual of [764, 676, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(2766, 766, F27, 28) (dual of [766, 700, 29]-code) | [i] | ✔ | |
| 48 | Linear OA(2791, 767, F27, 41) (dual of [767, 676, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(2768, 770, F27, 28) (dual of [770, 702, 29]-code) | [i] | ✔ | |
| 50 | Linear OA(2795, 771, F27, 42) (dual of [771, 676, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(2798, 774, F27, 43) (dual of [774, 676, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(27101, 777, F27, 44) (dual of [777, 676, 45]-code) | [i] | ✔ | |
| 53 | Linear OA(27105, 781, F27, 45) (dual of [781, 676, 46]-code) | [i] | ✔ | |
| 54 | Linear OA(27109, 785, F27, 46) (dual of [785, 676, 47]-code) | [i] | ✔ | |
| 55 | Linear OA(2763, 758, F27, 28) (dual of [758, 695, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |