Information on Result #58946
There is no OA(373, 179, S3, 42), because the linear programming bound shows that M ≥ 1655 853606 621594 847365 162793 421685 754880 172836 255628 739509 006491 538956 023548 309718 301066 295705 004185 498409 491414 287212 260645 557088 062619 662927 494772 522986 898423 456227 215054 895585 942341 350400 / 23155 044107 809386 801034 895150 368402 409396 608253 215274 583956 452423 594904 331538 297952 444628 898814 412153 928733 894090 289314 856067 063972 880940 913479 439182 047891 > 373
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 OA(374, 180, S3, 43) | [i] | Truncation | |
| 2 | No OA(375, 181, S3, 44) | [i] | ||
| 3 | No OA(376, 182, S3, 45) | [i] | ||
| 4 | No OA(377, 183, S3, 46) | [i] | ||
| 5 | No OOA(374, 179, S3, 2, 43) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(373, 179, S3, 2, 42) | [i] | Depth Reduction | |
| 7 | No (31, 73, 179)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3199, 306, F3, 126) (dual of [306, 107, 127]-code) | [i] | Residual Code | |