Information on Result #59918

There is no OA(478, 126, S4, 55), because the linear programming bound shows that M ≥ 2901 389818 753620 372966 758503 692769 919777 415870 206171 489172 131498 601871 871062 872861 714093 115093 024768 / 29875 532781 103953 314180 525267 680849 659832 645598 366247 > 478

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(478, 126, S4, 2, 55) [i]Depth Reduction
2No OOA(478, 126, S4, 3, 55) [i]
3No (23, 78, 126)-net in base 4 [i]Extracting Embedded Orthogonal Array