Information on Result #724524
Linear OA(2584, 624, F25, 44) (dual of [624, 540, 45]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−11,−10,…,32}, and designed minimum distance d ≥ |I|+1 = 45
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]
- 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(25100, 670, F25, 44) (dual of [670, 570, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2599, 667, F25, 44) (dual of [667, 568, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(2598, 664, F25, 44) (dual of [664, 566, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(2597, 661, F25, 44) (dual of [661, 564, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(2596, 658, F25, 44) (dual of [658, 562, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(25102, 658, F25, 47) (dual of [658, 556, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(25105, 661, F25, 48) (dual of [661, 556, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(25108, 664, F25, 49) (dual of [664, 556, 50]-code) | [i] | ✔ | |