Information on Result #723141
Linear OA(2533, 624, F25, 17) (dual of [624, 591, 18]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−9,−8,…,7}, and designed minimum distance d ≥ |I|+1 = 18
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2543, 658, F25, 17) (dual of [658, 615, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2543, 652, F25, 18) (dual of [652, 609, 19]-code) | [i] | ✔ | |
| 3 | Linear OA(2546, 655, F25, 19) (dual of [655, 609, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2549, 658, F25, 20) (dual of [658, 609, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(2552, 661, F25, 21) (dual of [661, 609, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2555, 664, F25, 22) (dual of [664, 609, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(2558, 667, F25, 23) (dual of [667, 609, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(2561, 670, F25, 24) (dual of [670, 609, 25]-code) | [i] | ✔ | |