Information on Result #724373
Linear OA(2559, 624, F25, 30) (dual of [624, 565, 31]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,33}, and designed minimum distance d ≥ |I|+1 = 31
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(2559, 358, F25, 2, 30) (dual of [(358, 2), 657, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (29, 59, 358)-net over F25 | [i] | ||
| 3 | Linear OA(2592, 672, F25, 40) (dual of [672, 580, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2597, 677, F25, 41) (dual of [677, 580, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2596, 675, F25, 41) (dual of [675, 579, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2591, 670, F25, 40) (dual of [670, 579, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(2595, 673, F25, 41) (dual of [673, 578, 42]-code) | [i] | ✔ | |