Information on Result #730698
Linear OA(25650, 771, F256, 30) (dual of [771, 721, 31]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {113,114,…,142}, and designed minimum distance d ≥ |I|+1 = 31
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(25650, 714, F256, 2, 30) (dual of [(714, 2), 1378, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25650, 714, F256, 3, 30) (dual of [(714, 3), 2092, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(25650, 714, F256, 4, 30) (dual of [(714, 4), 2806, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(25650, 714, F256, 5, 30) (dual of [(714, 5), 3520, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(25650, 714, F256, 6, 30) (dual of [(714, 6), 4234, 31]-NRT-code) | [i] | ||
| 6 | Digital (20, 50, 714)-net over F256 | [i] | ||
| 7 | Linear OA(25650, 773, F256, 30) (dual of [773, 723, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25651, 776, F256, 30) (dual of [776, 725, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(25653, 780, F256, 30) (dual of [780, 727, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(25652, 773, F256, 31) (dual of [773, 721, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(25655, 776, F256, 32) (dual of [776, 721, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(25658, 779, F256, 33) (dual of [779, 721, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(25652, 779, F256, 30) (dual of [779, 727, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(25652, 775, F256, 31) (dual of [775, 723, 32]-code) | [i] | ✔ | |