Information on Result #58982
There is no OA(373, 123, S3, 45), because the linear programming bound shows that M ≥ 2808 640754 709561 673413 288749 360382 305600 098849 480190 178164 374813 402246 542737 575036 629671 056464 419225 742014 266460 475560 838182 553344 275311 / 35976 248284 132713 371830 997095 816817 658282 486367 564623 621887 133661 233734 765511 477094 428331 280913 134080 > 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 OOA(373, 123, S3, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(373, 123, S3, 3, 45) | [i] | ||
| 3 | No OOA(373, 123, S3, 4, 45) | [i] | ||
| 4 | No OOA(373, 123, S3, 5, 45) | [i] | ||
| 5 | No (28, 73, 123)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3208, 259, F3, 135) (dual of [259, 51, 136]-code) | [i] | Residual Code | |