Information on Result #60756

There is no OA(588, 103, S5, 69), because the linear programming bound shows that M ≥ 55 800890 235262 458139 981804 969157 255791 323279 936477 774754 166603 088378 906250 / 1 472522 247119 > 588

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 OA(589, 104, S5, 70) [i]Truncation
2No OOA(589, 103, S5, 2, 70) [i]m-Reduction for OOAs
3No OOA(588, 103, S5, 2, 69) [i]Depth Reduction
4No OOA(588, 103, S5, 3, 69) [i]
5No (19, 88, 103)-net in base 5 [i]Extracting Embedded Orthogonal Array