Information on Result #724315
Linear OA(2557, 624, F25, 29) (dual of [624, 567, 30]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,34}, and designed minimum distance d ≥ |I|+1 = 30
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2557, 349, F25, 2, 29) (dual of [(349, 2), 641, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (28, 57, 349)-net over F25 | [i] | ||
| 3 | Linear OA(2591, 675, F25, 39) (dual of [675, 584, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2596, 680, F25, 40) (dual of [680, 584, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(2595, 678, F25, 40) (dual of [678, 583, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(2590, 673, F25, 39) (dual of [673, 583, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2599, 680, F25, 41) (dual of [680, 581, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2598, 678, F25, 41) (dual of [678, 580, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2594, 676, F25, 40) (dual of [676, 582, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(2597, 676, F25, 41) (dual of [676, 579, 42]-code) | [i] | ✔ | |