Information on Result #546671
There is no linear OA(3156, 248, F3, 99) (dual of [248, 92, 100]-code), because residual code would yield OA(357, 148, S3, 33), but
- the linear programming bound shows that M ≥ 339310 353108 625838 622205 253005 107344 580119 357971 883548 907069 767680 / 208 213577 356617 676998 634448 123348 499991 > 357 [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(3157, 249, F3, 100) (dual of [249, 92, 101]-code) | [i] | Truncation | |
| 2 | No linear OA(3158, 250, F3, 101) (dual of [250, 92, 102]-code) | [i] | ||
| 3 | No linear OOA(3157, 248, F3, 2, 100) (dual of [(248, 2), 339, 101]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3158, 248, F3, 2, 101) (dual of [(248, 2), 338, 102]-NRT-code) | [i] | ||
| 5 | No linear OOA(3156, 248, F3, 2, 99) (dual of [(248, 2), 340, 100]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3156, 248, F3, 3, 99) (dual of [(248, 3), 588, 100]-NRT-code) | [i] | ||
| 7 | No linear OOA(3156, 248, F3, 4, 99) (dual of [(248, 4), 836, 100]-NRT-code) | [i] | ||
| 8 | No linear OOA(3156, 248, F3, 5, 99) (dual of [(248, 5), 1084, 100]-NRT-code) | [i] | ||
| 9 | No digital (57, 156, 248)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |