Information on Result #730655
Linear OA(25640, 771, F256, 24) (dual of [771, 731, 25]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {116,117,…,139}, and designed minimum distance d ≥ |I|+1 = 25
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(25640, 650, F256, 2, 24) (dual of [(650, 2), 1260, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25640, 650, F256, 3, 24) (dual of [(650, 3), 1910, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(25640, 650, F256, 4, 24) (dual of [(650, 4), 2560, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(25640, 650, F256, 5, 24) (dual of [(650, 5), 3210, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(25640, 650, F256, 6, 24) (dual of [(650, 6), 3860, 25]-NRT-code) | [i] | ||
| 6 | Digital (16, 40, 650)-net over F256 | [i] | ||
| 7 | Linear OA(25640, 773, F256, 24) (dual of [773, 733, 25]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25641, 776, F256, 24) (dual of [776, 735, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(25642, 773, F256, 25) (dual of [773, 731, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(25645, 776, F256, 26) (dual of [776, 731, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(25642, 779, F256, 24) (dual of [779, 737, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(25642, 775, F256, 25) (dual of [775, 733, 26]-code) | [i] | ✔ | |