Information on Result #59861

There is no OA(468, 117, S4, 48), because the linear programming bound shows that M ≥ 17 386566 400310 365130 429344 698706 546300 548809 167457 041405 229063 271574 299683 241127 057478 266601 477863 676931 347562 102784 / 194 255471 902233 779114 903901 006951 502367 530957 736648 427641 695122 360967 936465 > 468

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(468, 117, S4, 2, 48) [i]Depth Reduction
2No OOA(468, 117, S4, 3, 48) [i]
3No (20, 68, 117)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4260, 310, F4, 192) (dual of [310, 50, 193]-code) [i]Residual Code