Information on Result #724174
Linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40
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(2592, 673, F25, 39) (dual of [673, 581, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2593, 677, F25, 39) (dual of [677, 584, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(2592, 675, F25, 39) (dual of [675, 583, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2591, 673, F25, 39) (dual of [673, 582, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(2590, 672, F25, 39) (dual of [672, 582, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2589, 670, F25, 39) (dual of [670, 581, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2578, 640, F25, 39) (dual of [640, 562, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2580, 640, F25, 40) (dual of [640, 560, 41]-code) | [i] | ✔ | |