Information on Result #730732
Linear OA(25656, 771, F256, 34) (dual of [771, 715, 35]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {112,113,…,145}, and designed minimum distance d ≥ |I|+1 = 35
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(12864, 771, S128, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25656, 677, F256, 2, 34) (dual of [(677, 2), 1298, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25656, 677, F256, 3, 34) (dual of [(677, 3), 1975, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(25656, 677, F256, 4, 34) (dual of [(677, 4), 2652, 35]-NRT-code) | [i] | ||
| 5 | Linear OOA(25656, 677, F256, 5, 34) (dual of [(677, 5), 3329, 35]-NRT-code) | [i] | ||
| 6 | Linear OOA(25656, 677, F256, 6, 34) (dual of [(677, 6), 4006, 35]-NRT-code) | [i] | ||
| 7 | Digital (22, 56, 677)-net over F256 | [i] | ||
| 8 | Linear OA(25657, 783, F256, 34) (dual of [783, 726, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(25657, 774, F256, 34) (dual of [774, 717, 35]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(25658, 777, F256, 34) (dual of [777, 719, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(25659, 780, F256, 34) (dual of [780, 721, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(25660, 783, F256, 34) (dual of [783, 723, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(25658, 773, F256, 35) (dual of [773, 715, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(25661, 776, F256, 36) (dual of [776, 715, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(25664, 779, F256, 37) (dual of [779, 715, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(25667, 782, F256, 38) (dual of [782, 715, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(25660, 779, F256, 35) (dual of [779, 719, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(25659, 776, F256, 35) (dual of [776, 717, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(25660, 775, F256, 36) (dual of [775, 715, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(25663, 778, F256, 37) (dual of [778, 715, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(25666, 781, F256, 38) (dual of [781, 715, 39]-code) | [i] | ✔ | |
| 22 | Linear OOA(25656, 385, F256, 2, 34) (dual of [(385, 2), 714, 35]-NRT-code) | [i] | OOA Folding | |