Information on Result #59822

There is no OA(466, 150, S4, 45), because the linear programming bound shows that M ≥ 218 603248 395353 963143 573129 094845 574107 874696 792745 859935 933646 235876 315511 128217 770614 833515 398023 492482 446101 600214 474162 958366 887001 317163 943539 507200 000000 / 39636 522622 025040 367641 896273 764902 619875 534086 883796 962530 116095 725635 815042 105519 857817 694911 172894 869760 633227 396889 > 466

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(466, 150, S4, 2, 45) [i]Depth Reduction
2No OOA(466, 150, S4, 3, 45) [i]
3No (21, 66, 150)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4246, 331, F4, 180) (dual of [331, 85, 181]-code) [i]Residual Code