Information on Result #724495
Linear OA(2563, 624, F25, 32) (dual of [624, 561, 33]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {3,4,…,34}, and designed minimum distance d ≥ |I|+1 = 33
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2563, 376, F25, 2, 32) (dual of [(376, 2), 689, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (31, 63, 376)-net over F25 | [i] | ||
| 3 | Linear OA(2597, 675, F25, 42) (dual of [675, 578, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(25102, 680, F25, 43) (dual of [680, 578, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(25101, 678, F25, 43) (dual of [678, 577, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2596, 673, F25, 42) (dual of [673, 577, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(25100, 676, F25, 43) (dual of [676, 576, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2599, 673, F25, 43) (dual of [673, 574, 44]-code) | [i] | ✔ | |