Information on Result #724176
Linear OA(2553, 624, F25, 27) (dual of [624, 571, 28]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {8,9,…,34}, and designed minimum distance d ≥ |I|+1 = 28
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2553, 332, F25, 2, 27) (dual of [(332, 2), 611, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (26, 53, 332)-net over F25 | [i] | ||
| 3 | Linear OA(2587, 675, F25, 37) (dual of [675, 588, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2592, 680, F25, 38) (dual of [680, 588, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2591, 678, F25, 38) (dual of [678, 587, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(2586, 673, F25, 37) (dual of [673, 587, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2595, 680, F25, 39) (dual of [680, 585, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2594, 678, F25, 39) (dual of [678, 584, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(2590, 676, F25, 38) (dual of [676, 586, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(2593, 676, F25, 39) (dual of [676, 583, 40]-code) | [i] | ✔ | |