Information on Result #60462

There is no OA(548, 117, S5, 36), because the linear programming bound shows that M ≥ 857737 153103 885496 330490 271513 380662 269378 253967 687124 391832 458681 463089 622229 745145 887136 459350 585937 500000 / 238 558124 760736 411982 747178 579992 386558 436129 608373 218223 385627 584585 285287 > 548

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(548, 117, S5, 2, 36) [i]Depth Reduction
2No OOA(548, 117, S5, 3, 36) [i]
3No (12, 48, 117)-net in base 5 [i]Extracting Embedded Orthogonal Array