Information on Result #730628
Linear OA(25632, 771, F256, 19) (dual of [771, 739, 20]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {118,119,…,136}, and designed minimum distance d ≥ |I|+1 = 20
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(25632, 686, F256, 2, 19) (dual of [(686, 2), 1340, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25632, 686, F256, 3, 19) (dual of [(686, 3), 2026, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(25632, 686, F256, 4, 19) (dual of [(686, 4), 2712, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25632, 686, F256, 5, 19) (dual of [(686, 5), 3398, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25632, 686, F256, 6, 19) (dual of [(686, 6), 4084, 20]-NRT-code) | [i] | ||
| 6 | Digital (13, 32, 686)-net over F256 | [i] | ||
| 7 | Linear OA(25632, 773, F256, 19) (dual of [773, 741, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25633, 776, F256, 19) (dual of [776, 743, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(25634, 773, F256, 20) (dual of [773, 739, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(25640, 779, F256, 23) (dual of [779, 739, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |