Information on Result #59934

There is no OA(481, 131, S4, 57), because the linear programming bound shows that M ≥ 115957 251589 401118 817024 180882 517362 292716 124813 491857 749450 725036 828175 137279 177416 585487 654418 579359 531008 / 16848 059728 173663 803039 535689 156760 605090 791256 666356 868815 > 481

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(481, 131, S4, 2, 57) [i]Depth Reduction
2No OOA(481, 131, S4, 3, 57) [i]
3No (24, 81, 131)-net in base 4 [i]Extracting Embedded Orthogonal Array