Information on Result #730678
Linear OA(25645, 771, F256, 27) (dual of [771, 726, 28]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {243,244,…,269}, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25645, 680, F256, 2, 27) (dual of [(680, 2), 1315, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25645, 680, F256, 3, 27) (dual of [(680, 3), 1995, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(25645, 680, F256, 4, 27) (dual of [(680, 4), 2675, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(25645, 680, F256, 5, 27) (dual of [(680, 5), 3355, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(25645, 680, F256, 6, 27) (dual of [(680, 6), 4035, 28]-NRT-code) | [i] | ||
| 6 | Digital (18, 45, 680)-net over F256 | [i] | ||
| 7 | Linear OA(25645, 773, F256, 27) (dual of [773, 728, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25646, 776, F256, 27) (dual of [776, 730, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(25647, 779, F256, 27) (dual of [779, 732, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(25647, 775, F256, 28) (dual of [775, 728, 29]-code) | [i] | ✔ | |