Information on Result #726279
Linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2791, 784, F27, 37) (dual of [784, 693, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2790, 782, F27, 37) (dual of [782, 692, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2790, 783, F27, 37) (dual of [783, 693, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2789, 781, F27, 37) (dual of [781, 692, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2788, 779, F27, 37) (dual of [779, 691, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2791, 786, F27, 37) (dual of [786, 695, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2790, 784, F27, 37) (dual of [784, 694, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2789, 782, F27, 37) (dual of [782, 693, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2789, 783, F27, 37) (dual of [783, 694, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(2788, 781, F27, 37) (dual of [781, 693, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2787, 779, F27, 37) (dual of [779, 692, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(2786, 777, F27, 37) (dual of [777, 691, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(2772, 732, F27, 38) (dual of [732, 660, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(27108, 783, F27, 47) (dual of [783, 675, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(27107, 781, F27, 47) (dual of [781, 674, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(27103, 777, F27, 46) (dual of [777, 674, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(2775, 735, F27, 39) (dual of [735, 660, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(27110, 781, F27, 48) (dual of [781, 671, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(27106, 779, F27, 47) (dual of [779, 673, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(27102, 774, F27, 46) (dual of [774, 672, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(2778, 738, F27, 40) (dual of [738, 660, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(27109, 779, F27, 48) (dual of [779, 670, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(27105, 776, F27, 47) (dual of [776, 671, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(27101, 771, F27, 46) (dual of [771, 670, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(2781, 741, F27, 41) (dual of [741, 660, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(27108, 776, F27, 48) (dual of [776, 668, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(27104, 773, F27, 47) (dual of [773, 669, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(27100, 768, F27, 46) (dual of [768, 668, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(2784, 744, F27, 42) (dual of [744, 660, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(27107, 773, F27, 48) (dual of [773, 666, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(27103, 770, F27, 47) (dual of [770, 667, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(2799, 765, F27, 46) (dual of [765, 666, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(2787, 747, F27, 43) (dual of [747, 660, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(27106, 770, F27, 48) (dual of [770, 664, 49]-code) | [i] | ✔ | |
| 35 | Linear OA(27102, 767, F27, 47) (dual of [767, 665, 48]-code) | [i] | ✔ | |
| 36 | Linear OA(2798, 762, F27, 46) (dual of [762, 664, 47]-code) | [i] | ✔ | |
| 37 | Linear OA(2790, 750, F27, 44) (dual of [750, 660, 45]-code) | [i] | ✔ | |
| 38 | Linear OA(27101, 764, F27, 47) (dual of [764, 663, 48]-code) | [i] | ✔ | |
| 39 | Linear OA(2797, 759, F27, 46) (dual of [759, 662, 47]-code) | [i] | ✔ | |
| 40 | Linear OA(2793, 753, F27, 45) (dual of [753, 660, 46]-code) | [i] | ✔ | |
| 41 | Linear OA(27100, 761, F27, 47) (dual of [761, 661, 48]-code) | [i] | ✔ | |
| 42 | Linear OA(2796, 756, F27, 46) (dual of [756, 660, 47]-code) | [i] | ✔ | |
| 43 | Linear OA(2799, 758, F27, 47) (dual of [758, 659, 48]-code) | [i] | ✔ | |
| 44 | Linear OA(2774, 732, F27, 39) (dual of [732, 658, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(2777, 735, F27, 40) (dual of [735, 658, 41]-code) | [i] | ✔ | |
| 46 | Linear OA(2780, 738, F27, 41) (dual of [738, 658, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(2783, 741, F27, 42) (dual of [741, 658, 43]-code) | [i] | ✔ | |
| 48 | Linear OA(2786, 744, F27, 43) (dual of [744, 658, 44]-code) | [i] | ✔ | |
| 49 | Linear OA(2789, 747, F27, 44) (dual of [747, 658, 45]-code) | [i] | ✔ | |
| 50 | Linear OA(2792, 750, F27, 45) (dual of [750, 658, 46]-code) | [i] | ✔ | |
| 51 | Linear OA(2795, 753, F27, 46) (dual of [753, 658, 47]-code) | [i] | ✔ | |
| 52 | Linear OA(2798, 756, F27, 47) (dual of [756, 658, 48]-code) | [i] | ✔ | |
| 53 | Linear OA(27101, 758, F27, 48) (dual of [758, 657, 49]-code) | [i] | ✔ | |
| 54 | Linear OA(27101, 759, F27, 48) (dual of [759, 658, 49]-code) | [i] | ✔ | |
| 55 | Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) | [i] | ✔ | |
| 56 | Linear OA(27104, 762, F27, 49) (dual of [762, 658, 50]-code) | [i] | ✔ | |
| 57 | Linear OA(27107, 764, F27, 50) (dual of [764, 657, 51]-code) | [i] | ✔ | |
| 58 | Linear OA(27107, 765, F27, 50) (dual of [765, 658, 51]-code) | [i] | ✔ | |
| 59 | Linear OA(27110, 767, F27, 51) (dual of [767, 657, 52]-code) | [i] | ✔ | |
| 60 | Linear OA(27110, 768, F27, 51) (dual of [768, 658, 52]-code) | [i] | ✔ | |