Information on Result #730706
Linear OA(25651, 771, F256, 31) (dual of [771, 720, 32]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,272}, and designed minimum distance d ≥ |I|+1 = 32
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 | OA(12859, 771, S128, 31) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25651, 637, F256, 2, 31) (dual of [(637, 2), 1223, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OA(25652, 774, F256, 31) (dual of [774, 722, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(25653, 777, F256, 31) (dual of [777, 724, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(25654, 780, F256, 31) (dual of [780, 726, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(25653, 773, F256, 32) (dual of [773, 720, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(25656, 776, F256, 33) (dual of [776, 720, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(25655, 779, F256, 32) (dual of [779, 724, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(25654, 776, F256, 32) (dual of [776, 722, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(25655, 775, F256, 33) (dual of [775, 720, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(25658, 778, F256, 34) (dual of [778, 720, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(25661, 781, F256, 35) (dual of [781, 720, 36]-code) | [i] | ✔ | |
| 13 | Linear OOA(25651, 385, F256, 2, 31) (dual of [(385, 2), 719, 32]-NRT-code) | [i] | OOA Folding | |