Information on Result #59836

There is no OA(465, 113, S4, 46), because the linear programming bound shows that M ≥ 145 402369 805359 268193 209685 952643 209942 587568 332064 303419 732807 154505 932977 868145 129044 024267 389501 535040 862760 730624 / 100423 807776 117676 644806 780906 988983 236254 180840 898357 650546 636091 023031 034405 > 465

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(465, 113, S4, 2, 46) [i]Depth Reduction
2No OOA(465, 113, S4, 3, 46) [i]
3No (19, 65, 113)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4249, 298, F4, 184) (dual of [298, 49, 185]-code) [i]Residual Code