Information on Result #526587

There is no linear OA(256, 376900, F25, 3) (dual of [376900, 376894, 4]-code or 376900-cap in PG(5,25)), because removing affine subspaces would yield
  1. linear OA(255, 15187, F25, 3) (dual of [15187, 15182, 4]-code or 15187-cap in PG(4,25)), but
  2. 361714-cap in AG(5,25), but

Mode: Bound (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
1No linear OOA(256, 376900, F25, 2, 3) (dual of [(376900, 2), 753794, 4]-NRT-code) [i]Depth Reduction
2No digital (3, 6, 376900)-net over F25 [i]Extracting Embedded Orthogonal Array