Information on Result #726933
Linear OA(2769, 728, F27, 35) (dual of [728, 659, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2769, 436, F27, 2, 35) (dual of [(436, 2), 803, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (34, 69, 436)-net over F27 | [i] | ||
| 3 | Linear OA(27108, 786, F27, 46) (dual of [786, 678, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(27107, 784, F27, 46) (dual of [784, 677, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(27103, 780, F27, 45) (dual of [780, 677, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(27110, 784, F27, 47) (dual of [784, 674, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(27106, 782, F27, 46) (dual of [782, 676, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(27109, 782, F27, 47) (dual of [782, 673, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(27105, 779, F27, 46) (dual of [779, 674, 47]-code) | [i] | ✔ | |