Information on Result #58973
There is no OA(372, 129, S3, 44), because the linear programming bound shows that M ≥ 44581 042680 190201 424193 831840 753900 670798 725450 637402 342191 554654 268694 860799 351692 628249 035083 768310 785141 170441 602743 910081 150638 796780 311369 419178 341421 989330 024725 427166 876875 682423 121951 240264 500151 / 1 947482 853721 425586 922187 925058 224422 649757 526790 464738 458184 631778 914633 064948 606561 512864 131931 488340 022430 458898 125986 767827 041137 500285 991795 319155 347570 902673 254730 > 372
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(372, 129, S3, 2, 44) | [i] | Depth Reduction | |
| 2 | No OOA(372, 129, S3, 3, 44) | [i] | ||
| 3 | No OOA(372, 129, S3, 4, 44) | [i] | ||
| 4 | No OOA(372, 129, S3, 5, 44) | [i] | ||
| 5 | No (28, 72, 129)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3204, 262, F3, 132) (dual of [262, 58, 133]-code) | [i] | Residual Code | |