Information on Result #723982
Linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37
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 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(2589, 680, F25, 36) (dual of [680, 591, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2588, 678, F25, 36) (dual of [678, 590, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2587, 676, F25, 36) (dual of [676, 589, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2588, 680, F25, 36) (dual of [680, 592, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2587, 678, F25, 36) (dual of [678, 591, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(2586, 676, F25, 36) (dual of [676, 590, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2585, 675, F25, 36) (dual of [675, 590, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(2584, 673, F25, 36) (dual of [673, 589, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(2568, 628, F25, 36) (dual of [628, 560, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(2570, 628, F25, 37) (dual of [628, 558, 38]-code) | [i] | ✔ | |