Information on Result #724033
Linear OA(2570, 624, F25, 37) (dual of [624, 554, 38]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,31}, and designed minimum distance d ≥ |I|+1 = 38
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2586, 667, F25, 37) (dual of [667, 581, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2587, 671, F25, 37) (dual of [671, 584, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2586, 669, F25, 37) (dual of [669, 583, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2585, 667, F25, 37) (dual of [667, 582, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2584, 666, F25, 37) (dual of [666, 582, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2583, 664, F25, 37) (dual of [664, 581, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2574, 640, F25, 37) (dual of [640, 566, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2576, 640, F25, 38) (dual of [640, 564, 39]-code) | [i] | ✔ | |