Information on Result #617702
Linear OA(2756, 729, F27, 30) (dual of [729, 673, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(2771, 757, F27, 30) (dual of [757, 686, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2772, 767, F27, 30) (dual of [767, 695, 31]-code) | [i] | ||
| 3 | Linear OA(2773, 777, F27, 30) (dual of [777, 704, 31]-code) | [i] | ||
| 4 | Linear OA(2774, 781, F27, 30) (dual of [781, 707, 31]-code) | [i] | ||
| 5 | Linear OA(2775, 793, F27, 30) (dual of [793, 718, 31]-code) | [i] | ||
| 6 | Linear OA(2776, 797, F27, 30) (dual of [797, 721, 31]-code) | [i] | ||
| 7 | Linear OA(2777, 805, F27, 30) (dual of [805, 728, 31]-code) | [i] | ||
| 8 | Linear OA(2778, 811, F27, 30) (dual of [811, 733, 31]-code) | [i] | ||
| 9 | Linear OA(2779, 813, F27, 30) (dual of [813, 734, 31]-code) | [i] | ||
| 10 | Linear OA(2780, 817, F27, 30) (dual of [817, 737, 31]-code) | [i] | ||
| 11 | Linear OA(2781, 823, F27, 30) (dual of [823, 742, 31]-code) | [i] | ||
| 12 | Linear OA(2782, 834, F27, 30) (dual of [834, 752, 31]-code) | [i] | ||
| 13 | Linear OA(2783, 912, F27, 30) (dual of [912, 829, 31]-code) | [i] | ||
| 14 | Linear OA(2779, 753, F27, 30) (dual of [753, 674, 31]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(2777, 751, F27, 30) (dual of [751, 674, 31]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(2778, 753, F27, 30) (dual of [753, 675, 31]-code) | [i] | ||
| 17 | Linear OA(2779, 755, F27, 30) (dual of [755, 676, 31]-code) | [i] | ||
| 18 | Linear OA(2780, 757, F27, 30) (dual of [757, 677, 31]-code) | [i] | ||
| 19 | Linear OA(2781, 785, F27, 30) (dual of [785, 704, 31]-code) | [i] | ||
| 20 | Linear OA(2782, 795, F27, 30) (dual of [795, 713, 31]-code) | [i] | ||
| 21 | Linear OA(2783, 805, F27, 30) (dual of [805, 722, 31]-code) | [i] | ||
| 22 | Linear OA(2758, 731, F27, 31) (dual of [731, 673, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(2756, 731, F27, 30) (dual of [731, 675, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(2761, 734, F27, 32) (dual of [734, 673, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(2757, 733, F27, 30) (dual of [733, 676, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(2764, 737, F27, 33) (dual of [737, 673, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(2759, 737, F27, 30) (dual of [737, 678, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(2767, 740, F27, 34) (dual of [740, 673, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(2760, 740, F27, 30) (dual of [740, 680, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(2770, 743, F27, 35) (dual of [743, 673, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(2761, 743, F27, 30) (dual of [743, 682, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(2773, 746, F27, 36) (dual of [746, 673, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(2762, 746, F27, 30) (dual of [746, 684, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(2776, 749, F27, 37) (dual of [749, 673, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(2763, 749, F27, 30) (dual of [749, 686, 31]-code) | [i] | ✔ | |
| 36 | Linear OA(2779, 752, F27, 38) (dual of [752, 673, 39]-code) | [i] | ✔ | |
| 37 | Linear OA(2764, 752, F27, 30) (dual of [752, 688, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(2782, 755, F27, 39) (dual of [755, 673, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(2765, 755, F27, 30) (dual of [755, 690, 31]-code) | [i] | ✔ | |
| 40 | Linear OA(2785, 757, F27, 40) (dual of [757, 672, 41]-code) | [i] | ✔ | |
| 41 | Linear OA(2786, 759, F27, 40) (dual of [759, 673, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(2766, 757, F27, 30) (dual of [757, 691, 31]-code) | [i] | ✔ | |
| 43 | Linear OA(2767, 759, F27, 30) (dual of [759, 692, 31]-code) | [i] | ✔ | |
| 44 | Linear OA(2789, 762, F27, 41) (dual of [762, 673, 42]-code) | [i] | ✔ | |
| 45 | Linear OA(2768, 762, F27, 30) (dual of [762, 694, 31]-code) | [i] | ✔ | |
| 46 | Linear OA(2792, 765, F27, 42) (dual of [765, 673, 43]-code) | [i] | ✔ | |
| 47 | Linear OA(2769, 765, F27, 30) (dual of [765, 696, 31]-code) | [i] | ✔ | |
| 48 | Linear OA(2795, 767, F27, 43) (dual of [767, 672, 44]-code) | [i] | ✔ | |
| 49 | Linear OA(2796, 769, F27, 43) (dual of [769, 673, 44]-code) | [i] | ✔ | |
| 50 | Linear OA(2770, 767, F27, 30) (dual of [767, 697, 31]-code) | [i] | ✔ | |
| 51 | Linear OA(2771, 769, F27, 30) (dual of [769, 698, 31]-code) | [i] | ✔ | |
| 52 | Linear OA(2799, 772, F27, 44) (dual of [772, 673, 45]-code) | [i] | ✔ | |
| 53 | Linear OA(2772, 772, F27, 30) (dual of [772, 700, 31]-code) | [i] | ✔ | |
| 54 | Linear OA(27102, 775, F27, 45) (dual of [775, 673, 46]-code) | [i] | ✔ | |
| 55 | Linear OA(27105, 777, F27, 46) (dual of [777, 672, 47]-code) | [i] | ✔ | |
| 56 | Linear OA(27106, 779, F27, 46) (dual of [779, 673, 47]-code) | [i] | ✔ | |
| 57 | Linear OA(27109, 781, F27, 47) (dual of [781, 672, 48]-code) | [i] | ✔ | |
| 58 | Linear OA(27110, 783, F27, 47) (dual of [783, 673, 48]-code) | [i] | ✔ | |