Information on Result #60488

There is no OA(551, 126, S5, 38), because the linear programming bound shows that M ≥ 209 123152 692645 519705 515736 303986 546204 664304 073505 759860 753393 822583 264468 869310 803711 414337 158203 125000 000000 / 463 316752 452645 364344 690583 123386 941507 064171 904835 048805 562407 591683 280043 > 551

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(551, 126, S5, 2, 38) [i]Depth Reduction
2No OOA(551, 126, S5, 3, 38) [i]
3No (13, 51, 126)-net in base 5 [i]Extracting Embedded Orthogonal Array