Information on Result #548048

There is no linear OA(2525, 94, F25, 24) (dual of [94, 69, 25]-code), because construction Y1 would yield
  1. linear OA(2524, 27, F25, 24) (dual of [27, 3, 25]-code or 27-arc in PG(23,25)), but
  2. OA(2569, 94, S25, 67), but
    • discarding factors would yield OA(2569, 73, S25, 67), but
      • the linear programming bound shows that M ≥ 24178 564222 846123 668546 399721 917528 895562 151649 914153 732205 158997 548011 257094 913162 291049 957275 390625 / 7242 > 2569 [i]

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(2525, 94, F25, 2, 24) (dual of [(94, 2), 163, 25]-NRT-code) [i]Depth Reduction
2No digital (1, 25, 94)-net over F25 [i]Extracting Embedded Orthogonal Array