Information on Result #805115

Linear OOA(36, 56, F3, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(36, 56, F3, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), 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:

ResultThis
result
only
Method
1Linear OOA(366, 4194357, F3, 2, 6) (dual of [(4194357, 2), 8388648, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(319, 52, F3, 2, 7) (dual of [(52, 2), 85, 8]-NRT-code) [i]
3Linear OOA(320, 68, F3, 2, 7) (dual of [(68, 2), 116, 8]-NRT-code) [i]
4Linear OOA(367, 4194357, F3, 2, 7) (dual of [(4194357, 2), 8388647, 8]-NRT-code) [i]
5Linear OOA(36, 56, F3, 3, 3) (dual of [(56, 3), 162, 4]-NRT-code) [i]Appending kth Column