Information on Result #547433
There is no linear OA(4243, 362, F4, 176) (dual of [362, 119, 177]-code), because residual code would yield OA(467, 185, S4, 44), but
- the linear programming bound shows that M ≥ 27 922736 614479 963563 498030 039555 280180 497392 114764 937434 686895 163379 799248 329552 391127 539087 989670 936576 / 1212 198916 755108 948361 633672 026124 789528 916769 954260 490443 945723 > 467 [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(4244, 363, F4, 177) (dual of [363, 119, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4245, 364, F4, 178) (dual of [364, 119, 179]-code) | [i] | ||
| 3 | No linear OA(4246, 365, F4, 179) (dual of [365, 119, 180]-code) | [i] | ||
| 4 | No linear OOA(4244, 362, F4, 2, 177) (dual of [(362, 2), 480, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4245, 362, F4, 2, 178) (dual of [(362, 2), 479, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4246, 362, F4, 2, 179) (dual of [(362, 2), 478, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4243, 362, F4, 2, 176) (dual of [(362, 2), 481, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4243, 362, F4, 3, 176) (dual of [(362, 3), 843, 177]-NRT-code) | [i] | ||
| 9 | No digital (67, 243, 362)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |