Information on Result #60776
There is no OA(5103, 300, S5, 72), because the linear programming bound shows that M ≥ 478 901718 105137 911610 313547 927456 422385 722345 743553 984250 169924 586587 170932 338603 362596 903988 648129 309869 595013 750020 588871 217191 057522 338810 640555 106897 465447 158636 062062 079931 966010 972366 372400 177425 561196 287162 601947 784423 828125 / 401 197824 075026 459436 067150 186574 959415 181970 908957 232051 628167 198395 361766 342434 416944 913521 501110 020479 954253 877089 689554 355276 130592 474729 565008 970767 782757 > 5103
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(5102, 299, S5, 72) | [i] | Code Embedding in Larger Space | |
| 2 | No OA(5101, 298, S5, 72) | [i] | ||
| 3 | No OA(5100, 297, S5, 72) | [i] | ||
| 4 | No OA(599, 296, S5, 72) | [i] | ||
| 5 | No OA(598, 295, S5, 72) | [i] | ||
| 6 | No OOA(5103, 300, S5, 2, 72) | [i] | Depth Reduction | |
| 7 | No OOA(5103, 300, S5, 3, 72) | [i] | ||
| 8 | No (31, 103, 300)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |