Information on Result #726266
Linear OA(2730, 728, F27, 15) (dual of [728, 698, 16]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {10,11,…,24}, and designed minimum distance d ≥ |I|+1 = 16
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 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(2784, 780, F27, 35) (dual of [780, 696, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2788, 784, F27, 36) (dual of [784, 696, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2787, 782, F27, 36) (dual of [782, 695, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2791, 784, F27, 37) (dual of [784, 693, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2790, 782, F27, 37) (dual of [782, 692, 38]-code) | [i] | ✔ | |