Information on Result #524339

There is no linear OA(94, 83, F9, 3) (dual of [83, 79, 4]-code or 83-cap in PG(3,9)), because ovoid cap is optimal

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(94, 83, F9, 2, 3) (dual of [(83, 2), 162, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(94, 83, F9, 3, 3) (dual of [(83, 3), 245, 4]-NRT-code) [i]
3No digital (1, 4, 83)-net over F9 [i]Extracting Embedded Orthogonal Array