Information on Result #547345
There is no linear OA(4225, 402, F4, 160) (dual of [402, 177, 161]-code), because residual code would yield OA(465, 241, S4, 40), but
- the linear programming bound shows that M ≥ 28636 313347 231972 752805 477185 503707 415442 542563 939751 037786 794056 666173 178505 529917 440000 / 20 036233 121660 447341 926213 459911 614906 079382 748507 > 465 [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(4226, 403, F4, 161) (dual of [403, 177, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4227, 404, F4, 162) (dual of [404, 177, 163]-code) | [i] | ||
| 3 | No linear OA(4228, 405, F4, 163) (dual of [405, 177, 164]-code) | [i] | ||
| 4 | No linear OOA(4226, 402, F4, 2, 161) (dual of [(402, 2), 578, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4227, 402, F4, 2, 162) (dual of [(402, 2), 577, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4228, 402, F4, 2, 163) (dual of [(402, 2), 576, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4225, 402, F4, 2, 160) (dual of [(402, 2), 579, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4225, 402, F4, 3, 160) (dual of [(402, 3), 981, 161]-NRT-code) | [i] | ||
| 9 | No digital (65, 225, 402)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |