Information on Result #60714
There is no OA(589, 300, S5, 61), because the linear programming bound shows that M ≥ 26678 246010 631137 429760 418376 617904 570436 960106 095146 950890 830576 146755 007586 898296 859601 342474 903656 670494 077879 710048 684103 185223 648324 608802 795410 156250 / 135 254019 495799 314939 492565 807491 240984 869091 107317 550744 938298 709709 984177 006612 981474 880681 > 589
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(588, 299, S5, 61) | [i] | Code Embedding in Larger Space | |
| 2 | No OA(587, 298, S5, 61) | [i] | ||
| 3 | No OA(586, 297, S5, 61) | [i] | ||
| 4 | No OOA(589, 300, S5, 2, 61) | [i] | Depth Reduction | |
| 5 | No OOA(589, 300, S5, 3, 61) | [i] | ||
| 6 | No (28, 89, 300)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |