Information on Result #724000
Linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−8,−7,…,27}, and designed minimum distance d ≥ |I|+1 = 37
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 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(2581, 659, F25, 36) (dual of [659, 578, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2580, 657, F25, 36) (dual of [657, 577, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2577, 653, F25, 36) (dual of [653, 576, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2575, 649, F25, 36) (dual of [649, 574, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2577, 649, F25, 37) (dual of [649, 572, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(25106, 681, F25, 45) (dual of [681, 575, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(25105, 679, F25, 45) (dual of [679, 574, 46]-code) | [i] | ✔ | |