Information on Result #725964
Linear OA(2754, 728, F27, 29) (dual of [728, 674, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,28], 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(2769, 770, F27, 29) (dual of [770, 701, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2769, 771, F27, 29) (dual of [771, 702, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(2768, 768, F27, 29) (dual of [768, 700, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(2766, 758, F27, 30) (dual of [758, 692, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(2765, 756, F27, 30) (dual of [756, 691, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(2769, 761, F27, 31) (dual of [761, 692, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2764, 753, F27, 30) (dual of [753, 689, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(2768, 759, F27, 31) (dual of [759, 691, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2772, 764, F27, 32) (dual of [764, 692, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(2763, 750, F27, 30) (dual of [750, 687, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(2771, 762, F27, 32) (dual of [762, 691, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(2775, 767, F27, 33) (dual of [767, 692, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2779, 770, F27, 34) (dual of [770, 691, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(2762, 747, F27, 30) (dual of [747, 685, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(2774, 765, F27, 33) (dual of [765, 691, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(2778, 770, F27, 34) (dual of [770, 692, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(2782, 773, F27, 35) (dual of [773, 691, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(2761, 744, F27, 30) (dual of [744, 683, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(2777, 768, F27, 34) (dual of [768, 691, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(2781, 773, F27, 35) (dual of [773, 692, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(2785, 776, F27, 36) (dual of [776, 691, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(2760, 741, F27, 30) (dual of [741, 681, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(2780, 771, F27, 35) (dual of [771, 691, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(2784, 776, F27, 36) (dual of [776, 692, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(2788, 779, F27, 37) (dual of [779, 691, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(2792, 782, F27, 38) (dual of [782, 690, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(2759, 738, F27, 30) (dual of [738, 679, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(2783, 774, F27, 36) (dual of [774, 691, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(2787, 779, F27, 37) (dual of [779, 692, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(2791, 782, F27, 38) (dual of [782, 691, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(2758, 735, F27, 30) (dual of [735, 677, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(2786, 777, F27, 37) (dual of [777, 691, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(2790, 782, F27, 38) (dual of [782, 692, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(2796, 788, F27, 39) (dual of [788, 692, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(2789, 780, F27, 38) (dual of [780, 691, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(2795, 788, F27, 39) (dual of [788, 693, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(2758, 732, F27, 31) (dual of [732, 674, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(2761, 735, F27, 32) (dual of [735, 674, 33]-code) | [i] | ✔ | |
| 39 | Linear OA(2764, 738, F27, 33) (dual of [738, 674, 34]-code) | [i] | ✔ | |
| 40 | Linear OA(2767, 741, F27, 34) (dual of [741, 674, 35]-code) | [i] | ✔ | |
| 41 | Linear OA(2770, 744, F27, 35) (dual of [744, 674, 36]-code) | [i] | ✔ | |
| 42 | Linear OA(2773, 747, F27, 36) (dual of [747, 674, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(2776, 750, F27, 37) (dual of [750, 674, 38]-code) | [i] | ✔ | |
| 44 | Linear OA(2779, 753, F27, 38) (dual of [753, 674, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(2782, 756, F27, 39) (dual of [756, 674, 40]-code) | [i] | ✔ | |
| 46 | Linear OA(2785, 758, F27, 40) (dual of [758, 673, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(2785, 759, F27, 40) (dual of [759, 674, 41]-code) | [i] | ✔ | |
| 48 | Linear OA(2788, 761, F27, 41) (dual of [761, 673, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(2788, 762, F27, 41) (dual of [762, 674, 42]-code) | [i] | ✔ | |
| 50 | Linear OA(2791, 764, F27, 42) (dual of [764, 673, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(2791, 765, F27, 42) (dual of [765, 674, 43]-code) | [i] | ✔ | |
| 52 | Linear OA(2794, 767, F27, 43) (dual of [767, 673, 44]-code) | [i] | ✔ | |
| 53 | Linear OA(2794, 768, F27, 43) (dual of [768, 674, 44]-code) | [i] | ✔ | |
| 54 | Linear OA(2797, 770, F27, 44) (dual of [770, 673, 45]-code) | [i] | ✔ | |
| 55 | Linear OA(27100, 770, F27, 45) (dual of [770, 670, 46]-code) | [i] | ✔ | |
| 56 | Linear OA(2797, 771, F27, 44) (dual of [771, 674, 45]-code) | [i] | ✔ | |
| 57 | Linear OA(27100, 773, F27, 45) (dual of [773, 673, 46]-code) | [i] | ✔ | |
| 58 | Linear OA(27103, 773, F27, 46) (dual of [773, 670, 47]-code) | [i] | ✔ | |
| 59 | Linear OA(27100, 774, F27, 45) (dual of [774, 674, 46]-code) | [i] | ✔ | |
| 60 | Linear OA(27103, 776, F27, 46) (dual of [776, 673, 47]-code) | [i] | ✔ | |
| 61 | Linear OA(27106, 776, F27, 47) (dual of [776, 670, 48]-code) | [i] | ✔ | |
| 62 | Linear OA(27103, 777, F27, 46) (dual of [777, 674, 47]-code) | [i] | ✔ | |
| 63 | Linear OA(27106, 779, F27, 47) (dual of [779, 673, 48]-code) | [i] | ✔ | |
| 64 | Linear OA(27109, 779, F27, 48) (dual of [779, 670, 49]-code) | [i] | ✔ | |
| 65 | Linear OA(27106, 780, F27, 47) (dual of [780, 674, 48]-code) | [i] | ✔ | |
| 66 | Linear OA(27109, 782, F27, 48) (dual of [782, 673, 49]-code) | [i] | ✔ | |