Information on Result #58945
There is no OA(372, 166, S3, 42), because the linear programming bound shows that M ≥ 3708 177920 981865 373588 437755 619329 963493 853633 501053 221945 962924 753226 122178 646596 684570 785490 813971 229149 075678 252631 823220 208670 888172 933548 774937 964032 317385 185116 199333 762378 663726 021334 995353 647735 985557 719209 619572 304083 217640 938540 673734 696000 / 156561 852463 373651 529187 845061 951139 819618 179813 617086 729231 310074 778337 668217 120160 348367 793511 265448 893510 422713 110540 923424 266826 849685 171967 550061 800650 508114 845380 137520 223684 048212 787473 386711 548511 501577 011613 > 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 OA(373, 167, S3, 43) | [i] | Truncation | |
| 2 | No OA(374, 168, S3, 44) | [i] | ||
| 3 | No OOA(373, 166, S3, 2, 43) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(372, 166, S3, 2, 42) | [i] | Depth Reduction | |
| 5 | No OOA(372, 166, S3, 3, 42) | [i] | ||
| 6 | No OOA(372, 166, S3, 4, 42) | [i] | ||
| 7 | No OOA(372, 166, S3, 5, 42) | [i] | ||
| 8 | No (30, 72, 166)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 9 | No linear OA(3198, 293, F3, 126) (dual of [293, 95, 127]-code) | [i] | Residual Code | |