Information on Result #59794

There is no OA(466, 191, S4, 43), because the linear programming bound shows that M ≥ 28 766535 420054 304848 397361 421684 986456 320614 942528 963784 752261 977481 718335 232020 438414 046131 126272 000000 / 5209 403279 129645 739501 754543 221181 850628 166933 877437 442223 389477 > 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, 191, S4, 2, 43) [i]Depth Reduction
2No OOA(466, 191, S4, 3, 43) [i]
3No (23, 66, 191)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4238, 364, F4, 172) (dual of [364, 126, 173]-code) [i]Residual Code
5No linear OA(4125, 191, F4, 89) (dual of [191, 66, 90]-code) [i]Construction Y1 (Bound)