Information on Result #725988
Linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2772, 773, F27, 30) (dual of [773, 701, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2771, 770, F27, 30) (dual of [770, 699, 31]-code) | [i] | ✔ | |
| 3 | Linear OA(2767, 760, F27, 30) (dual of [760, 693, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(2766, 758, F27, 30) (dual of [758, 692, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(2772, 774, F27, 30) (dual of [774, 702, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(2771, 771, F27, 30) (dual of [771, 700, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(2770, 768, F27, 30) (dual of [768, 698, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(2765, 756, F27, 30) (dual of [756, 691, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(2764, 753, F27, 30) (dual of [753, 689, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(2763, 750, F27, 30) (dual of [750, 687, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(2762, 747, F27, 30) (dual of [747, 685, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(2761, 744, F27, 30) (dual of [744, 683, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(2760, 741, F27, 30) (dual of [741, 681, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(2759, 738, F27, 30) (dual of [738, 679, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(2758, 735, F27, 30) (dual of [735, 677, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(2758, 732, F27, 31) (dual of [732, 674, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(2761, 735, F27, 32) (dual of [735, 674, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(2764, 738, F27, 33) (dual of [738, 674, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(2767, 741, F27, 34) (dual of [741, 674, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(2770, 744, F27, 35) (dual of [744, 674, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(2773, 747, F27, 36) (dual of [747, 674, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(2776, 750, F27, 37) (dual of [750, 674, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(2779, 753, F27, 38) (dual of [753, 674, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(2786, 760, F27, 40) (dual of [760, 674, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(2782, 756, F27, 39) (dual of [756, 674, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(2785, 758, F27, 40) (dual of [758, 673, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(2760, 732, F27, 32) (dual of [732, 672, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(2763, 735, F27, 33) (dual of [735, 672, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2766, 738, F27, 34) (dual of [738, 672, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(2769, 741, F27, 35) (dual of [741, 672, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(2772, 744, F27, 36) (dual of [744, 672, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(2775, 747, F27, 37) (dual of [747, 672, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(2778, 750, F27, 38) (dual of [750, 672, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(2781, 753, F27, 39) (dual of [753, 672, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(2784, 756, F27, 40) (dual of [756, 672, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(2787, 758, F27, 41) (dual of [758, 671, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(2787, 759, F27, 41) (dual of [759, 672, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(2790, 761, F27, 42) (dual of [761, 671, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(2790, 762, F27, 42) (dual of [762, 672, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(2793, 764, F27, 43) (dual of [764, 671, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(2793, 765, F27, 43) (dual of [765, 672, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(2796, 767, F27, 44) (dual of [767, 671, 45]-code) | [i] | ✔ | |
| 43 | Linear OA(2796, 768, F27, 44) (dual of [768, 672, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(2799, 770, F27, 45) (dual of [770, 671, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(27102, 770, F27, 46) (dual of [770, 668, 47]-code) | [i] | ✔ | |
| 46 | Linear OA(2799, 771, F27, 45) (dual of [771, 672, 46]-code) | [i] | ✔ | |
| 47 | Linear OA(27102, 773, F27, 46) (dual of [773, 671, 47]-code) | [i] | ✔ | |
| 48 | Linear OA(27105, 773, F27, 47) (dual of [773, 668, 48]-code) | [i] | ✔ | |
| 49 | Linear OA(27102, 774, F27, 46) (dual of [774, 672, 47]-code) | [i] | ✔ | |
| 50 | Linear OA(27105, 776, F27, 47) (dual of [776, 671, 48]-code) | [i] | ✔ | |
| 51 | Linear OA(27108, 776, F27, 48) (dual of [776, 668, 49]-code) | [i] | ✔ | |
| 52 | Linear OA(27105, 777, F27, 47) (dual of [777, 672, 48]-code) | [i] | ✔ | |
| 53 | Linear OA(27108, 779, F27, 48) (dual of [779, 671, 49]-code) | [i] | ✔ | |
| 54 | Linear OA(27108, 780, F27, 48) (dual of [780, 672, 49]-code) | [i] | ✔ | |