Information on Result #58941
There is no OA(368, 117, S3, 42), because the linear programming bound shows that M ≥ 117688 677034 371150 621267 441012 191945 699509 786586 414202 785608 822882 266942 917131 914689 407902 641112 044580 185151 160708 720843 820397 646660 433506 256247 / 388 484897 528912 368351 403561 573056 452570 889875 851861 940521 311969 565349 433313 959589 947946 383067 599375 798269 567950 > 368
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(368, 117, S3, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(368, 117, S3, 3, 42) | [i] | ||
| 3 | No OOA(368, 117, S3, 4, 42) | [i] | ||
| 4 | No OOA(368, 117, S3, 5, 42) | [i] | ||
| 5 | No (26, 68, 117)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3194, 244, F3, 126) (dual of [244, 50, 127]-code) | [i] | Residual Code | |