Information on Result #724006
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 = {−7,−6,…,28}, 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(2582, 662, F25, 36) (dual of [662, 580, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2581, 660, F25, 36) (dual of [660, 579, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2580, 658, F25, 36) (dual of [658, 578, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2579, 657, F25, 36) (dual of [657, 578, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2578, 655, F25, 36) (dual of [655, 577, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(2574, 646, F25, 36) (dual of [646, 572, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2576, 646, F25, 37) (dual of [646, 570, 38]-code) | [i] | ✔ | |