Information on Result #61919

There is no OA(8118, 139, S8, 101), because the linear programming bound shows that M ≥ 86 122166 823419 594361 457243 405645 198855 851117 431259 906299 815036 071096 967116 729798 784443 354837 373006 252286 343831 710016 130244 411392 / 2218 870601 774953 928217 > 8118

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(8119, 140, S8, 102) [i]Truncation
2No OOA(8119, 139, S8, 2, 102) [i]m-Reduction for OOAs
3No OOA(8118, 139, S8, 2, 101) [i]Depth Reduction
4No OOA(8118, 139, S8, 3, 101) [i]
5No (17, 118, 139)-net in base 8 [i]Extracting Embedded Orthogonal Array
6No linear OA(8119, 267, F8, 101) (dual of [267, 148, 102]-code) [i]Construction Y1 (Bound)