Information on Result #547279
There is no linear OA(4204, 308, F4, 148) (dual of [308, 104, 149]-code), because residual code would yield OA(456, 159, S4, 37), but
- the linear programming bound shows that M ≥ 552280 967540 130556 225380 165062 844509 113927 435157 299702 522905 668351 970980 659200 000000 / 99 260712 948022 423958 535222 844990 439800 493623 078423 > 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(4205, 309, F4, 149) (dual of [309, 104, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4206, 310, F4, 150) (dual of [310, 104, 151]-code) | [i] | ||
| 3 | No linear OA(4207, 311, F4, 151) (dual of [311, 104, 152]-code) | [i] | ||
| 4 | No linear OOA(4205, 308, F4, 2, 149) (dual of [(308, 2), 411, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4206, 308, F4, 2, 150) (dual of [(308, 2), 410, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4207, 308, F4, 2, 151) (dual of [(308, 2), 409, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4204, 308, F4, 2, 148) (dual of [(308, 2), 412, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4204, 308, F4, 3, 148) (dual of [(308, 3), 720, 149]-NRT-code) | [i] | ||
| 9 | No digital (56, 204, 308)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |