Information on Result #724331
Linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42
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 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(2599, 681, F25, 41) (dual of [681, 582, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2598, 679, F25, 41) (dual of [679, 581, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(25100, 684, F25, 41) (dual of [684, 584, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2599, 682, F25, 41) (dual of [682, 583, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2598, 681, F25, 41) (dual of [681, 583, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2597, 679, F25, 41) (dual of [679, 582, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2595, 676, F25, 41) (dual of [676, 581, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2582, 640, F25, 41) (dual of [640, 558, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2584, 640, F25, 42) (dual of [640, 556, 43]-code) | [i] | ✔ | |