Information on Result #59990

There is no OA(490, 113, S4, 65), because the linear programming bound shows that M ≥ 3 505790 269169 705234 956014 427184 836399 026829 839938 462474 722585 241140 068352 / 1 861467 044653 198125 > 490

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(490, 113, S4, 2, 65) [i]Depth Reduction
2No OOA(490, 113, S4, 3, 65) [i]
3No (25, 90, 113)-net in base 4 [i]Extracting Embedded Orthogonal Array