Information on Result #59988

There is no OA(488, 101, S4, 65), because the linear programming bound shows that M ≥ 7 350486 132137 803174 451709 414576 177373 255858 225467 384414 601216 / 68 067901 > 488

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(489, 102, S4, 66) [i]Truncation
2No OOA(489, 101, S4, 2, 66) [i]m-Reduction for OOAs
3No OOA(488, 101, S4, 2, 65) [i]Depth Reduction
4No OOA(488, 101, S4, 3, 65) [i]
5No (23, 88, 101)-net in base 4 [i]Extracting Embedded Orthogonal Array