Information on Result #60145

There is no OA(4123, 150, S4, 88), because the linear programming bound shows that M ≥ 22915 666113 439092 609099 444232 414491 754857 959622 104295 992957 494311 648680 329878 580928 609806 974976 / 136 168406 561048 662801 > 4123

Mode: Bound.

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 OOA(4123, 150, S4, 2, 88) [i]Depth Reduction
2No OOA(4123, 150, S4, 3, 88) [i]
3No (35, 123, 150)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4124, 210, F4, 88) (dual of [210, 86, 89]-code) [i]Construction Y1 (Bound)