Information on Result #805235

Linear OOA(2566, large, F256, 2, 3), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(2566, large, F256, 3) (dual of [large, large−6, 4]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2568, large, F256, 2, 3) [i]NRT-Code Embedding in Larger Space
2Linear OOA(25610, large, F256, 2, 3) [i]
3Linear OOA(25614, large, F256, 2, 3) [i]
4Linear OOA(25616, large, F256, 2, 3) [i]
5Linear OOA(25618, large, F256, 2, 3) [i]
6Linear OOA(25620, large, F256, 2, 3) [i]
7Linear OOA(25622, large, F256, 2, 3) [i]
8Linear OOA(25626, large, F256, 2, 3) [i]
9Linear OOA(25628, large, F256, 2, 3) [i]
10Linear OOA(25630, large, F256, 2, 3) [i]
11Linear OOA(25634, large, F256, 2, 3) [i]
12Linear OOA(25638, large, F256, 2, 3) [i]
13Linear OOA(25640, large, F256, 2, 3) [i]
14Linear OOA(25642, large, F256, 2, 3) [i]
15Linear OOA(25644, large, F256, 2, 3) [i]
16Linear OOA(25646, large, F256, 2, 3) [i]
17Linear OOA(25648, large, F256, 2, 3) [i]
18Linear OOA(25650, large, F256, 2, 3) [i]
19Linear OOA(25652, large, F256, 2, 3) [i]
20Linear OOA(25654, large, F256, 2, 3) [i]
21Linear OOA(25656, large, F256, 2, 3) [i]
22Linear OOA(25658, large, F256, 2, 3) [i]
23Linear OOA(25660, large, F256, 2, 3) [i]
24Linear OOA(25662, large, F256, 2, 3) [i]
25Linear OOA(25664, large, F256, 2, 3) [i]
26Linear OOA(25666, large, F256, 2, 3) [i]
27Linear OOA(25668, large, F256, 2, 3) [i]
28Linear OOA(2567, large, F256, 2, 3) [i]OOA Duplication
29Linear OOA(25622, 8388602, F256, 2, 6) (dual of [(8388602, 2), 16777182, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
30Linear OOA(25625, 8388602, F256, 2, 7) (dual of [(8388602, 2), 16777179, 8]-NRT-code) [i]
31Linear OOA(2566, large, F256, 3, 3) [i]Appending kth Column