Information on Result #730683
Linear OA(25646, 771, F256, 28) (dual of [771, 725, 29]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {115,116,…,142}, and designed minimum distance d ≥ |I|+1 = 29
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(12853, 771, S128, 28) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25646, 598, F256, 2, 28) (dual of [(598, 2), 1150, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OA(25648, 837, F256, 28) (dual of [837, 789, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(25647, 774, F256, 28) (dual of [774, 727, 29]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(25648, 777, F256, 28) (dual of [777, 729, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(25649, 780, F256, 28) (dual of [780, 731, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(25648, 773, F256, 29) (dual of [773, 725, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(25651, 776, F256, 30) (dual of [776, 725, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(25654, 779, F256, 31) (dual of [779, 725, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(25650, 779, F256, 29) (dual of [779, 729, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(25649, 776, F256, 29) (dual of [776, 727, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(25650, 775, F256, 30) (dual of [775, 725, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(25653, 778, F256, 31) (dual of [778, 725, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(25656, 781, F256, 32) (dual of [781, 725, 33]-code) | [i] | ✔ | |
| 15 | Linear OOA(25646, 385, F256, 2, 28) (dual of [(385, 2), 724, 29]-NRT-code) | [i] | OOA Folding | |