Information on Result #727088
Linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41
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]
- 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(27110, 780, F27, 49) (dual of [780, 670, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2778, 732, F27, 41) (dual of [732, 654, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(27109, 777, F27, 49) (dual of [777, 668, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(2781, 735, F27, 42) (dual of [735, 654, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(27108, 774, F27, 49) (dual of [774, 666, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(2784, 738, F27, 43) (dual of [738, 654, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(27107, 771, F27, 49) (dual of [771, 664, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(2787, 741, F27, 44) (dual of [741, 654, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(27110, 773, F27, 50) (dual of [773, 663, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(27106, 768, F27, 49) (dual of [768, 662, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(2790, 744, F27, 45) (dual of [744, 654, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(27109, 770, F27, 50) (dual of [770, 661, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(27105, 765, F27, 49) (dual of [765, 660, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(2793, 747, F27, 46) (dual of [747, 654, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(27108, 767, F27, 50) (dual of [767, 659, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(27104, 762, F27, 49) (dual of [762, 658, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(2796, 750, F27, 47) (dual of [750, 654, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(27107, 764, F27, 50) (dual of [764, 657, 51]-code) | [i] | ✔ | |
| 19 | Linear OA(27103, 759, F27, 49) (dual of [759, 656, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(2799, 753, F27, 48) (dual of [753, 654, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(27106, 761, F27, 50) (dual of [761, 655, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(27102, 756, F27, 49) (dual of [756, 654, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(27105, 758, F27, 50) (dual of [758, 653, 51]-code) | [i] | ✔ | |
| 24 | Linear OA(2780, 732, F27, 42) (dual of [732, 652, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(2783, 735, F27, 43) (dual of [735, 652, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(2786, 738, F27, 44) (dual of [738, 652, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(2789, 741, F27, 45) (dual of [741, 652, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(2792, 744, F27, 46) (dual of [744, 652, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(2795, 747, F27, 47) (dual of [747, 652, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(2798, 750, F27, 48) (dual of [750, 652, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(27101, 753, F27, 49) (dual of [753, 652, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(27104, 756, F27, 50) (dual of [756, 652, 51]-code) | [i] | ✔ | |
| 33 | Linear OA(27107, 758, F27, 51) (dual of [758, 651, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(27107, 759, F27, 51) (dual of [759, 652, 52]-code) | [i] | ✔ | |
| 35 | Linear OA(27110, 761, F27, 52) (dual of [761, 651, 53]-code) | [i] | ✔ | |
| 36 | Linear OA(27110, 762, F27, 52) (dual of [762, 652, 53]-code) | [i] | ✔ | |