Information on Result #547280
There is no linear OA(4205, 326, F4, 148) (dual of [326, 121, 149]-code), because residual code would yield OA(457, 177, S4, 37), but
- the linear programming bound shows that M ≥ 7 916017 728459 289141 982805 636437 938856 538720 259539 351050 169416 698004 574623 120920 412160 / 363 505843 153703 749393 199977 171265 253621 464016 748729 > 457 [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(4206, 327, F4, 149) (dual of [327, 121, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4207, 328, F4, 150) (dual of [328, 121, 151]-code) | [i] | ||
| 3 | No linear OA(4208, 329, F4, 151) (dual of [329, 121, 152]-code) | [i] | ||
| 4 | No linear OOA(4206, 326, F4, 2, 149) (dual of [(326, 2), 446, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4207, 326, F4, 2, 150) (dual of [(326, 2), 445, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4208, 326, F4, 2, 151) (dual of [(326, 2), 444, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4205, 326, F4, 2, 148) (dual of [(326, 2), 447, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4205, 326, F4, 3, 148) (dual of [(326, 3), 773, 149]-NRT-code) | [i] | ||
| 9 | No digital (57, 205, 326)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |