Information on Result #625154

Linear OA(278, 1245133, F27, 3) (dual of [1245133, 1245125, 4]-code or 1245133-cap in PG(7,27)), using product of projective cap with 272-ovoid cap in AG(3, 27) 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(278, 1245133, F27, 2, 3) (dual of [(1245133, 2), 2490258, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable