Information on Result #524302

There is no linear OA(75, 239, F7, 3) (dual of [239, 234, 4]-code or 239-cap in PG(4,7)), because a result by Edel, Storme, and Sziklai

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(75, 239, F7, 2, 3) (dual of [(239, 2), 473, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(75, 239, F7, 3, 3) (dual of [(239, 3), 712, 4]-NRT-code) [i]
3No digital (2, 5, 239)-net over F7 [i]Extracting Embedded Orthogonal Array
4No 239-cap in AG(4,7) [i]Every Affine Cap Is Also a Projective Cap
5No linear OA(76, 1659, F7, 3) (dual of [1659, 1653, 4]-code or 1659-cap in PG(5,7)) [i]Hill Recurrence