Information on Result #60167

There is no OA(4129, 150, S4, 93), because the linear programming bound shows that M ≥ 334 695053 805711 397561 375492 015414 168229 977994 664798 746384 442171 245301 199155 917928 366979 678208 / 643 455449 300513 > 4129

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(4130, 151, S4, 94) [i]Truncation
2No OOA(4130, 150, S4, 2, 94) [i]m-Reduction for OOAs
3No OOA(4129, 150, S4, 2, 93) [i]Depth Reduction
4No OOA(4129, 150, S4, 3, 93) [i]
5No (36, 129, 150)-net in base 4 [i]Extracting Embedded Orthogonal Array
6No linear OA(4130, 186, F4, 93) (dual of [186, 56, 94]-code) [i]Construction Y1 (Bound)