Information on Result #60868

There is no OA(5114, 130, S5, 89), because the linear programming bound shows that M ≥ 2 714752 481472 636819 003446 408307 138614 112384 082080 638159 073515 680574 928410 351276 397705 078125 / 40501 705629 > 5114

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(5115, 131, S5, 90) [i]Truncation
2No OOA(5115, 130, S5, 2, 90) [i]m-Reduction for OOAs
3No OOA(5114, 130, S5, 2, 89) [i]Depth Reduction
4No OOA(5114, 130, S5, 3, 89) [i]
5No (25, 114, 130)-net in base 5 [i]Extracting Embedded Orthogonal Array