Information on Result #59014
There is no OA(378, 128, S3, 48), because the linear programming bound shows that M ≥ 6 575490 843517 549614 037804 755790 886921 388297 503372 467014 072409 123799 884455 544386 348644 065807 588730 807152 499714 277823 942029 / 372064 864657 803488 591486 645857 495615 261692 996975 549874 881531 815830 072025 751212 712500 > 378
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(378, 128, S3, 2, 48) | [i] | Depth Reduction | |
| 2 | No OOA(378, 128, S3, 3, 48) | [i] | ||
| 3 | No OOA(378, 128, S3, 4, 48) | [i] | ||
| 4 | No OOA(378, 128, S3, 5, 48) | [i] | ||
| 5 | No (30, 78, 128)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3222, 273, F3, 144) (dual of [273, 51, 145]-code) | [i] | Residual Code | |