Information on Result #730705
Linear OA(25652, 774, F256, 31) (dual of [774, 722, 32]-code), using construction X applied to C([242,272]) ⊂ C([244,272]) based on
- 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 [i]
- linear OA(25649, 771, F256, 29) (dual of [771, 722, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {244,245,…,272}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25652, 774, F256, 2, 31) (dual of [(774, 2), 1496, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25652, 774, F256, 3, 31) (dual of [(774, 3), 2270, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(25652, 774, F256, 4, 31) (dual of [(774, 4), 3044, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(25652, 774, F256, 5, 31) (dual of [(774, 5), 3818, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(25652, 774, F256, 6, 31) (dual of [(774, 6), 4592, 32]-NRT-code) | [i] | ||
| 6 | Digital (21, 52, 774)-net over F256 | [i] | ||
| 7 | Linear OOA(25652, 387, F256, 2, 31) (dual of [(387, 2), 722, 32]-NRT-code) | [i] | OOA Folding | |