Information on Result #547219
There is no linear OA(4183, 220, F4, 136) (dual of [220, 37, 137]-code), because residual code would yield OA(447, 83, S4, 34), but
- the linear programming bound shows that M ≥ 52 720571 155598 864034 786269 073952 563615 274024 793807 425195 470485 757374 758912 / 2526 264626 215124 582307 285701 642932 544212 018125 > 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4184, 221, F4, 137) (dual of [221, 37, 138]-code) | [i] | Truncation | |
| 2 | No linear OA(4185, 222, F4, 138) (dual of [222, 37, 139]-code) | [i] | ||
| 3 | No linear OOA(4184, 220, F4, 2, 137) (dual of [(220, 2), 256, 138]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(4185, 220, F4, 2, 138) (dual of [(220, 2), 255, 139]-NRT-code) | [i] | ||
| 5 | No linear OOA(4183, 220, F4, 2, 136) (dual of [(220, 2), 257, 137]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(4183, 220, F4, 3, 136) (dual of [(220, 3), 477, 137]-NRT-code) | [i] | ||
| 7 | No digital (47, 183, 220)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |