Information on Result #723298
Linear OA(2536, 624, F25, 18) (dual of [624, 588, 19]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,21}, and designed minimum distance d ≥ |I|+1 = 19
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2536, 317, F25, 2, 18) (dual of [(317, 2), 598, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (18, 36, 317)-net over F25 | [i] | ||
| 3 | Linear OA(2555, 660, F25, 22) (dual of [660, 605, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2554, 660, F25, 22) (dual of [660, 606, 23]-code) | [i] | ✔ | |