Information on Result #730717
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 = {241,242,…,272}, 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(25653, 773, F256, 32) (dual of [773, 720, 33]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(25655, 777, F256, 32) (dual of [777, 722, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(25656, 780, F256, 32) (dual of [780, 724, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(25655, 773, F256, 33) (dual of [773, 718, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(25655, 779, F256, 32) (dual of [779, 724, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(25657, 779, F256, 33) (dual of [779, 722, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(25654, 776, F256, 32) (dual of [776, 722, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(25655, 775, F256, 33) (dual of [775, 720, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(25658, 778, F256, 34) (dual of [778, 720, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(25661, 781, F256, 35) (dual of [781, 720, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(25657, 775, F256, 34) (dual of [775, 718, 35]-code) | [i] | ✔ | |