Information on Result #723388
Linear OA(2538, 624, F25, 19) (dual of [624, 586, 20]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {5,6,…,23}, and designed minimum distance d ≥ |I|+1 = 20
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2538, 322, F25, 2, 19) (dual of [(322, 2), 606, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (19, 38, 322)-net over F25 | [i] | ||
| 3 | Linear OA(2560, 663, F25, 24) (dual of [663, 603, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2559, 663, F25, 24) (dual of [663, 604, 25]-code) | [i] | ✔ | |