Information on Result #60044

There is no OA(4102, 143, S4, 72), because the linear programming bound shows that M ≥ 57 833620 343797 634544 130580 591815 924041 597402 291621 523905 888652 948345 058555 467190 800870 267187 888128 / 1 840031 759199 955966 201200 096969 140625 > 4102

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(4102, 143, S4, 2, 72) [i]Depth Reduction
2No OOA(4102, 143, S4, 3, 72) [i]
3No (30, 102, 143)-net in base 4 [i]Extracting Embedded Orthogonal Array