Information on Result #547175
There is no linear OA(4167, 283, F4, 120) (dual of [283, 116, 121]-code), because residual code would yield OA(447, 162, S4, 30), but
- the linear programming bound shows that M ≥ 661 618547 319544 075336 945316 804054 288235 251664 473292 800000 / 32634 021485 375754 527704 375031 > 447 [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(4168, 284, F4, 121) (dual of [284, 116, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(4169, 285, F4, 122) (dual of [285, 116, 123]-code) | [i] | ||
| 3 | No linear OA(4170, 286, F4, 123) (dual of [286, 116, 124]-code) | [i] | ||
| 4 | No linear OOA(4168, 283, F4, 2, 121) (dual of [(283, 2), 398, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4169, 283, F4, 2, 122) (dual of [(283, 2), 397, 123]-NRT-code) | [i] | ||
| 6 | No linear OOA(4170, 283, F4, 2, 123) (dual of [(283, 2), 396, 124]-NRT-code) | [i] | ||
| 7 | No linear OOA(4167, 283, F4, 2, 120) (dual of [(283, 2), 399, 121]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4167, 283, F4, 3, 120) (dual of [(283, 3), 682, 121]-NRT-code) | [i] | ||
| 9 | No digital (47, 167, 283)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |