Information on Result #60554

There is no OA(557, 125, S5, 43), because the linear programming bound shows that M ≥ 17961 856003 588537 355822 110963 679100 633458 267622 718835 518832 785126 715138 708035 468022 798269 044252 873186 112606 135323 575564 492235 361744 482141 308571 154780 793222 016654 908657 073974 609375 / 2 293145 170915 434711 346702 443683 486227 988420 723748 170622 542330 655319 861837 475276 446572 458160 916408 961366 817563 353006 208712 550662 736623 652601 > 557

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(557, 125, S5, 2, 43) [i]Depth Reduction
2No OOA(557, 125, S5, 3, 43) [i]
3No (14, 57, 125)-net in base 5 [i]Extracting Embedded Orthogonal Array