Information on Result #724146
Linear OA(2553, 624, F25, 27) (dual of [624, 571, 28]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,30}, 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2553, 332, F25, 2, 27) (dual of [(332, 2), 611, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (26, 53, 332)-net over F25 | [i] | ||
| 3 | Linear OA(2583, 663, F25, 37) (dual of [663, 580, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2588, 668, F25, 38) (dual of [668, 580, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2587, 666, F25, 38) (dual of [666, 579, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(2582, 661, F25, 37) (dual of [661, 579, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2586, 664, F25, 38) (dual of [664, 578, 39]-code) | [i] | ✔ | |