Information on Result #730594
Linear OA(25613, 771, F256, 8) (dual of [771, 758, 9]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {253,254,…,260}, and designed minimum distance d ≥ |I|+1 = 9
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25646, 66308, F256, 17) (dual of [66308, 66262, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25644, 66307, F256, 16) (dual of [66307, 66263, 17]-code) | [i] | ||
| 3 | Linear OOA(25613, 767, F256, 2, 8) (dual of [(767, 2), 1521, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(25613, 767, F256, 3, 8) (dual of [(767, 3), 2288, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(25613, 767, F256, 4, 8) (dual of [(767, 4), 3055, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(25613, 767, F256, 5, 8) (dual of [(767, 5), 3822, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(25613, 767, F256, 6, 8) (dual of [(767, 6), 4589, 9]-NRT-code) | [i] | ||
| 8 | Digital (5, 13, 767)-net over F256 | [i] | ||
| 9 | Linear OA(25613, 773, F256, 8) (dual of [773, 760, 9]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(25615, 773, F256, 9) (dual of [773, 758, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(25615, 775, F256, 9) (dual of [775, 760, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(25617, 775, F256, 10) (dual of [775, 758, 11]-code) | [i] | ✔ | |