Information on Result #724064
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 = {−1,0,…,35}, 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(2591, 681, F25, 37) (dual of [681, 590, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2590, 679, F25, 37) (dual of [679, 589, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2591, 682, F25, 37) (dual of [682, 591, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2590, 681, F25, 37) (dual of [681, 591, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2589, 679, F25, 37) (dual of [679, 590, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2587, 676, F25, 37) (dual of [676, 589, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2570, 628, F25, 37) (dual of [628, 558, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2572, 628, F25, 38) (dual of [628, 556, 39]-code) | [i] | ✔ | |