Information on Result #805205

Linear OOA(275, 1708, F27, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(275, 1708, F27, 3) (dual of [1708, 1703, 4]-code or 1708-cap in PG(4,27)), 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(2731, 4196009, F27, 2, 6) (dual of [(4196009, 2), 8391987, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(2724, 11551, F27, 2, 7) (dual of [(11551, 2), 23078, 8]-NRT-code) [i]
3Linear OOA(2730, 267430, F27, 2, 7) (dual of [(267430, 2), 534830, 8]-NRT-code) [i]
4Linear OOA(2736, 4196009, F27, 2, 7) (dual of [(4196009, 2), 8391982, 8]-NRT-code) [i]
5Linear OOA(275, 1708, F27, 3, 3) (dual of [(1708, 3), 5119, 4]-NRT-code) [i]Appending kth Column