Information on Result #60842

There is no OA(5108, 126, S5, 84), because the linear programming bound shows that M ≥ 2 094092 513870 288705 839493 432161 771605 009517 271370 374225 103461 185426 567681 133747 100830 078125 / 654 802567 287869 > 5108

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(5109, 127, S5, 85) [i]Truncation
2No OOA(5109, 126, S5, 2, 85) [i]m-Reduction for OOAs
3No OOA(5108, 126, S5, 2, 84) [i]Depth Reduction
4No OOA(5108, 126, S5, 3, 84) [i]
5No (24, 108, 126)-net in base 5 [i]Extracting Embedded Orthogonal Array