Information on Result #60460

There is no OA(546, 80, S5, 36), because the linear programming bound shows that M ≥ 77170 340181 070590 961945 521665 722993 838468 820371 190304 285846 650600 433349 609375 / 522 365409 226884 536298 358374 879219 876117 346399 > 546

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(546, 80, S5, 2, 36) [i]Depth Reduction
2No OOA(546, 80, S5, 3, 36) [i]
3No (10, 46, 80)-net in base 5 [i]Extracting Embedded Orthogonal Array