Information on Result #547244
There is no linear OA(4196, 345, F4, 140) (dual of [345, 149, 141]-code), because residual code would yield OA(456, 204, S4, 35), but
- the linear programming bound shows that M ≥ 78295 866271 954113 495370 355913 581218 786159 455204 222712 111589 032673 922357 657600 / 14 695871 573792 476851 963908 736113 155530 258961 > 456 [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(4197, 346, F4, 141) (dual of [346, 149, 142]-code) | [i] | Truncation | |
| 2 | No linear OA(4198, 347, F4, 142) (dual of [347, 149, 143]-code) | [i] | ||
| 3 | No linear OA(4199, 348, F4, 143) (dual of [348, 149, 144]-code) | [i] | ||
| 4 | No linear OOA(4197, 345, F4, 2, 141) (dual of [(345, 2), 493, 142]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4198, 345, F4, 2, 142) (dual of [(345, 2), 492, 143]-NRT-code) | [i] | ||
| 6 | No linear OOA(4199, 345, F4, 2, 143) (dual of [(345, 2), 491, 144]-NRT-code) | [i] | ||
| 7 | No linear OOA(4196, 345, F4, 2, 140) (dual of [(345, 2), 494, 141]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4196, 345, F4, 3, 140) (dual of [(345, 3), 839, 141]-NRT-code) | [i] | ||
| 9 | No digital (56, 196, 345)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |