Information on Result #723661
Linear OA(2558, 624, F25, 31) (dual of [624, 566, 32]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32
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 Expurgated Narrow-Sense BCH-Codes [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 OA(2572, 661, F25, 31) (dual of [661, 589, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2573, 665, F25, 31) (dual of [665, 592, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2572, 663, F25, 31) (dual of [663, 591, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2571, 661, F25, 31) (dual of [661, 590, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2570, 660, F25, 31) (dual of [660, 590, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2569, 658, F25, 31) (dual of [658, 589, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2558, 628, F25, 31) (dual of [628, 570, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2560, 628, F25, 32) (dual of [628, 568, 33]-code) | [i] | ✔ | |