Information on Result #59791

There is no OA(463, 145, S4, 43), because the linear programming bound shows that M ≥ 410852 595144 601422 661736 194475 352548 234222 916103 520325 789662 026727 829058 017732 594422 665880 071589 138518 417655 328617 787562 131456 / 4712 214848 200787 196384 454868 078661 057064 361851 730871 257084 069591 637575 047639 691128 659913 > 463

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(463, 145, S4, 2, 43) [i]Depth Reduction
2No OOA(463, 145, S4, 3, 43) [i]
3No (20, 63, 145)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4235, 318, F4, 172) (dual of [318, 83, 173]-code) [i]Residual Code