Information on Result #59795

There is no OA(467, 207, S4, 43), because the linear programming bound shows that M ≥ 28014 561764 993307 241664 052911 871857 702310 880709 902206 525389 902012 241710 106857 807269 754280 270102 528000 / 1 234731 917948 789567 037359 176277 481011 072922 589066 284983 746001 > 467

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(467, 207, S4, 2, 43) [i]Depth Reduction
2No OOA(467, 207, S4, 3, 43) [i]
3No (24, 67, 207)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4239, 380, F4, 172) (dual of [380, 141, 173]-code) [i]Residual Code