Information on Result #2154786
There is no OA(4104, 299, S4, 67), because 1 times code embedding in larger space would yield OA(4105, 300, S4, 67), but
- the linear programming bound shows that M ≥ 11 866421 778772 466687 058097 849033 634242 087591 155847 829067 320240 882047 586769 814979 036822 662813 115785 700962 351486 501532 456729 367800 828376 343177 400149 462107 470199 218175 748147 164807 330165 992016 054133 713184 751616 000000 000000 / 4807 979136 885685 356693 331596 829565 839839 740948 034833 297420 543618 196988 551429 643909 734802 847036 968885 899629 613064 397648 825924 793009 524727 274681 962622 843531 > 4105 [i]
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 OOA(4104, 299, S4, 2, 67) | [i] | Depth Reduction | |
| 2 | No OOA(4104, 299, S4, 3, 67) | [i] | ||
| 3 | No (37, 104, 299)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |