Information on Result #58887
There is no OA(367, 161, S3, 39), because the linear programming bound shows that M ≥ 7869 930401 701596 807600 626345 198645 987250 178540 123516 450258 613760 580612 231642 212759 197575 489472 106615 287923 905883 555477 227637 750454 750095 263289 921478 546175 064686 283056 062869 623904 743004 569600 / 82 148594 495356 629216 229580 554269 756505 456638 376053 336365 080668 371924 625544 809288 130216 022035 376144 707077 418285 944925 300421 885924 252263 109749 469346 381267 111193 > 367
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(367, 161, S3, 2, 39) | [i] | Depth Reduction | |
| 2 | No OOA(367, 161, S3, 3, 39) | [i] | ||
| 3 | No OOA(367, 161, S3, 4, 39) | [i] | ||
| 4 | No OOA(367, 161, S3, 5, 39) | [i] | ||
| 5 | No (28, 67, 161)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3184, 279, F3, 117) (dual of [279, 95, 118]-code) | [i] | Residual Code | |