Information on Result #58926
There is no OA(371, 173, S3, 41), because the linear programming bound shows that M ≥ 752 213045 412644 622322 639569 681201 793647 412281 389251 969822 802871 486494 784732 933848 371039 162021 095359 451090 737034 712280 246898 192888 217335 028567 448906 630420 259126 393691 599101 660621 344716 988276 971065 655155 449564 286879 801625 / 99411 491410 035009 716994 001272 318459 880023 404946 768393 677017 035421 193893 190900 114748 467022 440016 060914 627280 959263 096693 535393 660281 132091 783126 909751 606063 233958 271183 758623 954372 067907 > 371
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(371, 173, S3, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(371, 173, S3, 3, 41) | [i] | ||
| 3 | No OOA(371, 173, S3, 4, 41) | [i] | ||
| 4 | No OOA(371, 173, S3, 5, 41) | [i] | ||
| 5 | No (30, 71, 173)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3194, 297, F3, 123) (dual of [297, 103, 124]-code) | [i] | Residual Code | |