Information on Result #625166

Linear OA(514, 1123200, F5, 3) (dual of [1123200, 1123186, 4]-code or 1123200-cap in PG(13,5)), using product of two projective caps and an affine cap avoiding two hyperplanes based on
  1. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
  2. linear OA(57, 675, F5, 3) (dual of [675, 668, 4]-code or 675-cap in PG(6,5)), 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(514, 1123200, F5, 2, 3) (dual of [(1123200, 2), 2246386, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable
2Linear OOA(514, 1123199, F5, 3, 3) (dual of [(1123199, 3), 3369583, 4]-NRT-code) [i]OOA Stacking with Additional Row