Information on Result #546937
There is no linear OA(3222, 273, F3, 144) (dual of [273, 51, 145]-code), because residual code would yield OA(378, 128, S3, 48), but
- 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 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3223, 274, F3, 145) (dual of [274, 51, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(3224, 275, F3, 146) (dual of [275, 51, 147]-code) | [i] | ||
| 3 | No linear OOA(3223, 273, F3, 2, 145) (dual of [(273, 2), 323, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3224, 273, F3, 2, 146) (dual of [(273, 2), 322, 147]-NRT-code) | [i] | ||
| 5 | No linear OOA(3222, 273, F3, 2, 144) (dual of [(273, 2), 324, 145]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3222, 273, F3, 3, 144) (dual of [(273, 3), 597, 145]-NRT-code) | [i] | ||
| 7 | No linear OOA(3222, 273, F3, 4, 144) (dual of [(273, 4), 870, 145]-NRT-code) | [i] | ||
| 8 | No linear OOA(3222, 273, F3, 5, 144) (dual of [(273, 5), 1143, 145]-NRT-code) | [i] | ||
| 9 | No digital (78, 222, 273)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |