Information on Result #59475

There is no OA(431, 167, S4, 18), because the linear programming bound shows that M ≥ 10 709160 698850 412098 268143 898591 232000 / 2 251884 149854 892341 > 431

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 OA(432, 168, S4, 19) [i]Truncation
2No linear OA(4103, 240, F4, 72) (dual of [240, 137, 73]-code) [i]Residual Code
3No linear OA(4136, 167, F4, 99) (dual of [167, 31, 100]-code) [i]Construction Y1 (Bound)