Information on Result #719481
Linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,23}, and designed minimum distance d ≥ |I|+1 = 28
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]
- 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 OOA(973, 699, F9, 2, 27) (dual of [(699, 2), 1325, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 699, F9, 3, 27) (dual of [(699, 3), 2024, 28]-NRT-code) | [i] | ||
| 3 | Digital (46, 73, 699)-net over F9 | [i] | ||
| 4 | Linear OA(990, 777, F9, 27) (dual of [777, 687, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(976, 745, F9, 27) (dual of [745, 669, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(975, 741, F9, 27) (dual of [741, 666, 28]-code) | [i] | ✔ | |