Information on Result #726282
Linear OA(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,29}, and designed minimum distance d ≥ |I|+1 = 26
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [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]
- 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(2760, 741, F27, 30) (dual of [741, 681, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2763, 744, F27, 31) (dual of [744, 681, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2766, 747, F27, 32) (dual of [747, 681, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(2769, 750, F27, 33) (dual of [750, 681, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2772, 753, F27, 34) (dual of [753, 681, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(2779, 760, F27, 36) (dual of [760, 681, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2775, 756, F27, 35) (dual of [756, 681, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(2778, 758, F27, 36) (dual of [758, 680, 37]-code) | [i] | ✔ | |