Information on Result #730625
Linear OA(25630, 771, F256, 18) (dual of [771, 741, 19]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {119,120,…,136}, and designed minimum distance d ≥ |I|+1 = 19
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 OOA(25630, 611, F256, 2, 18) (dual of [(611, 2), 1192, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25630, 611, F256, 3, 18) (dual of [(611, 3), 1803, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(25630, 611, F256, 4, 18) (dual of [(611, 4), 2414, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(25630, 611, F256, 5, 18) (dual of [(611, 5), 3025, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(25630, 611, F256, 6, 18) (dual of [(611, 6), 3636, 19]-NRT-code) | [i] | ||
| 6 | Digital (12, 30, 611)-net over F256 | [i] | ||
| 7 | Linear OA(25630, 773, F256, 18) (dual of [773, 743, 19]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25631, 776, F256, 18) (dual of [776, 745, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(25632, 773, F256, 19) (dual of [773, 741, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(25635, 776, F256, 20) (dual of [776, 741, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(25632, 775, F256, 19) (dual of [775, 743, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |