Information on Result #59761

There is no OA(461, 155, S4, 41), because the linear programming bound shows that M ≥ 35 162266 348965 864492 465363 741528 241521 515995 482555 223491 846236 883313 207330 736210 116983 129154 519040 / 6 178619 757792 266774 478203 941876 542733 832278 327110 913669 619231 > 461

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(461, 155, S4, 2, 41) [i]Depth Reduction
2No OOA(461, 155, S4, 3, 41) [i]
3No (20, 61, 155)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4225, 320, F4, 164) (dual of [320, 95, 165]-code) [i]Residual Code