Information on Result #546736
There is no linear OA(3180, 279, F3, 114) (dual of [279, 99, 115]-code), because residual code would yield OA(366, 164, S3, 38), but
- the linear programming bound shows that M ≥ 28 879890 598693 981767 858904 700078 804544 010519 089400 319761 254528 195493 544126 197753 947774 003837 783343 880912 553452 712668 486144 993991 575869 777324 277760 / 903400 545294 735183 153424 590171 611234 670868 730655 231672 024594 670239 604239 180914 860835 373684 382446 610001 352164 878597 > 366 [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(3181, 280, F3, 115) (dual of [280, 99, 116]-code) | [i] | Truncation | |
| 2 | No linear OA(3182, 281, F3, 116) (dual of [281, 99, 117]-code) | [i] | ||
| 3 | No linear OOA(3181, 279, F3, 2, 115) (dual of [(279, 2), 377, 116]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3182, 279, F3, 2, 116) (dual of [(279, 2), 376, 117]-NRT-code) | [i] | ||
| 5 | No linear OOA(3180, 279, F3, 2, 114) (dual of [(279, 2), 378, 115]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3180, 279, F3, 3, 114) (dual of [(279, 3), 657, 115]-NRT-code) | [i] | ||
| 7 | No linear OOA(3180, 279, F3, 4, 114) (dual of [(279, 4), 936, 115]-NRT-code) | [i] | ||
| 8 | No linear OOA(3180, 279, F3, 5, 114) (dual of [(279, 5), 1215, 115]-NRT-code) | [i] | ||
| 9 | No digital (66, 180, 279)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |