Information on Result #727152
Linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43
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(2782, 732, F27, 43) (dual of [732, 650, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2785, 735, F27, 44) (dual of [735, 650, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(2788, 738, F27, 45) (dual of [738, 650, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(2791, 741, F27, 46) (dual of [741, 650, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(27110, 768, F27, 51) (dual of [768, 658, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(2794, 744, F27, 47) (dual of [744, 650, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(27109, 765, F27, 51) (dual of [765, 656, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(2797, 747, F27, 48) (dual of [747, 650, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(27108, 762, F27, 51) (dual of [762, 654, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(27100, 750, F27, 49) (dual of [750, 650, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(27107, 759, F27, 51) (dual of [759, 652, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(27103, 753, F27, 50) (dual of [753, 650, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(27110, 761, F27, 52) (dual of [761, 651, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(27106, 756, F27, 51) (dual of [756, 650, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(27109, 758, F27, 52) (dual of [758, 649, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(2784, 732, F27, 44) (dual of [732, 648, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(2787, 735, F27, 45) (dual of [735, 648, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(2790, 738, F27, 46) (dual of [738, 648, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(2793, 741, F27, 47) (dual of [741, 648, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(2796, 744, F27, 48) (dual of [744, 648, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(2799, 747, F27, 49) (dual of [747, 648, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(27102, 750, F27, 50) (dual of [750, 648, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(27105, 753, F27, 51) (dual of [753, 648, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(27108, 756, F27, 52) (dual of [756, 648, 53]-code) | [i] | ✔ | |