Information on Result #730768
Linear OA(25653, 771, F256, 32) (dual of [771, 718, 33]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,273}, and designed minimum distance d ≥ |I|+1 = 33
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(25653, 693, F256, 2, 32) (dual of [(693, 2), 1333, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25653, 693, F256, 3, 32) (dual of [(693, 3), 2026, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(25653, 693, F256, 4, 32) (dual of [(693, 4), 2719, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(25653, 693, F256, 5, 32) (dual of [(693, 5), 3412, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(25653, 693, F256, 6, 32) (dual of [(693, 6), 4105, 33]-NRT-code) | [i] | ||
| 6 | Digital (21, 53, 693)-net over F256 | [i] | ||
| 7 | Linear OA(25665, 783, F256, 37) (dual of [783, 718, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25658, 782, F256, 33) (dual of [782, 724, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(25655, 775, F256, 33) (dual of [775, 720, 34]-code) | [i] | ✔ | |