Information on Result #726826
Linear OA(2765, 728, F27, 33) (dual of [728, 663, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,35}, and designed minimum distance d ≥ |I|+1 = 34
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2765, 417, F27, 2, 33) (dual of [(417, 2), 769, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (32, 65, 417)-net over F27 | [i] | ||
| 3 | Linear OA(27102, 780, F27, 44) (dual of [780, 678, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(27101, 778, F27, 44) (dual of [778, 677, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(2797, 774, F27, 43) (dual of [774, 677, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(27100, 776, F27, 44) (dual of [776, 676, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(2799, 773, F27, 44) (dual of [773, 674, 45]-code) | [i] | ✔ | |