Information on Result #617654
Linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(2764, 757, F27, 26) (dual of [757, 693, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2765, 767, F27, 26) (dual of [767, 702, 27]-code) | [i] | ||
| 3 | Linear OA(2766, 777, F27, 26) (dual of [777, 711, 27]-code) | [i] | ||
| 4 | Linear OA(2767, 781, F27, 26) (dual of [781, 714, 27]-code) | [i] | ||
| 5 | Linear OA(2768, 793, F27, 26) (dual of [793, 725, 27]-code) | [i] | ||
| 6 | Linear OA(2769, 797, F27, 26) (dual of [797, 728, 27]-code) | [i] | ||
| 7 | Linear OA(2770, 805, F27, 26) (dual of [805, 735, 27]-code) | [i] | ||
| 8 | Linear OA(2771, 811, F27, 26) (dual of [811, 740, 27]-code) | [i] | ||
| 9 | Linear OA(2772, 813, F27, 26) (dual of [813, 741, 27]-code) | [i] | ||
| 10 | Linear OA(2773, 834, F27, 26) (dual of [834, 761, 27]-code) | [i] | ||
| 11 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2771, 750, F27, 26) (dual of [750, 679, 27]-code) | [i] | ||
| 13 | Linear OA(2773, 753, F27, 26) (dual of [753, 680, 27]-code) | [i] | ||
| 14 | Linear OA(2774, 756, F27, 26) (dual of [756, 682, 27]-code) | [i] | ||
| 15 | Linear OA(2768, 747, F27, 26) (dual of [747, 679, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(2769, 749, F27, 26) (dual of [749, 680, 27]-code) | [i] | ||
| 17 | Linear OA(2770, 751, F27, 26) (dual of [751, 681, 27]-code) | [i] | ||
| 18 | Linear OA(2771, 753, F27, 26) (dual of [753, 682, 27]-code) | [i] | ||
| 19 | Linear OA(2772, 785, F27, 26) (dual of [785, 713, 27]-code) | [i] | ||
| 20 | Linear OA(2773, 795, F27, 26) (dual of [795, 722, 27]-code) | [i] | ||
| 21 | Linear OA(2774, 805, F27, 26) (dual of [805, 731, 27]-code) | [i] | ||
| 22 | Linear OA(2754, 732, F27, 28) (dual of [732, 678, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(2751, 731, F27, 26) (dual of [731, 680, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(2756, 734, F27, 29) (dual of [734, 678, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(2752, 734, F27, 26) (dual of [734, 682, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(2759, 737, F27, 30) (dual of [737, 678, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(2753, 737, F27, 26) (dual of [737, 684, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(2762, 740, F27, 31) (dual of [740, 678, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(2754, 740, F27, 26) (dual of [740, 686, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(2765, 743, F27, 32) (dual of [743, 678, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(2755, 743, F27, 26) (dual of [743, 688, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(2768, 746, F27, 33) (dual of [746, 678, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2756, 746, F27, 26) (dual of [746, 690, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(2771, 749, F27, 34) (dual of [749, 678, 35]-code) | [i] | ✔ | |
| 35 | Linear OA(2757, 749, F27, 26) (dual of [749, 692, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(2774, 752, F27, 35) (dual of [752, 678, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2758, 752, F27, 26) (dual of [752, 694, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(2777, 755, F27, 36) (dual of [755, 678, 37]-code) | [i] | ✔ | |
| 39 | Linear OA(2759, 755, F27, 26) (dual of [755, 696, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(2780, 757, F27, 37) (dual of [757, 677, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(2781, 759, F27, 37) (dual of [759, 678, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(2760, 757, F27, 26) (dual of [757, 697, 27]-code) | [i] | ✔ | |
| 43 | Linear OA(2761, 759, F27, 26) (dual of [759, 698, 27]-code) | [i] | ✔ | |
| 44 | Linear OA(2784, 762, F27, 38) (dual of [762, 678, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(2762, 762, F27, 26) (dual of [762, 700, 27]-code) | [i] | ✔ | |
| 46 | Linear OA(2787, 765, F27, 39) (dual of [765, 678, 40]-code) | [i] | ✔ | |
| 47 | Linear OA(2763, 765, F27, 26) (dual of [765, 702, 27]-code) | [i] | ✔ | |
| 48 | Linear OA(2790, 767, F27, 40) (dual of [767, 677, 41]-code) | [i] | ✔ | |
| 49 | Linear OA(2791, 769, F27, 40) (dual of [769, 678, 41]-code) | [i] | ✔ | |
| 50 | Linear OA(2764, 767, F27, 26) (dual of [767, 703, 27]-code) | [i] | ✔ | |
| 51 | Linear OA(2765, 769, F27, 26) (dual of [769, 704, 27]-code) | [i] | ✔ | |
| 52 | Linear OA(2794, 772, F27, 41) (dual of [772, 678, 42]-code) | [i] | ✔ | |
| 53 | Linear OA(2797, 775, F27, 42) (dual of [775, 678, 43]-code) | [i] | ✔ | |
| 54 | Linear OA(27100, 777, F27, 43) (dual of [777, 677, 44]-code) | [i] | ✔ | |
| 55 | Linear OA(27101, 779, F27, 43) (dual of [779, 678, 44]-code) | [i] | ✔ | |
| 56 | Linear OA(27104, 781, F27, 44) (dual of [781, 677, 45]-code) | [i] | ✔ | |
| 57 | Linear OA(27105, 783, F27, 44) (dual of [783, 678, 45]-code) | [i] | ✔ | |
| 58 | Linear OA(27108, 786, F27, 45) (dual of [786, 678, 46]-code) | [i] | ✔ | |