Information on Result #599593
There is no digital (61, 225, 320)-net over F4, because extracting embedded orthogonal array would yield linear OA(4225, 320, F4, 164) (dual of [320, 95, 165]-code), but
- residual code [i] would yield OA(461, 155, S4, 41), but
- the linear programming bound shows that M ≥ 35 162266 348965 864492 465363 741528 241521 515995 482555 223491 846236 883313 207330 736210 116983 129154 519040 / 6 178619 757792 266774 478203 941876 542733 832278 327110 913669 619231 > 461 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (61, 226, 320)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (61, 227, 320)-net over F4 | [i] | ||
| 3 | No digital (61, 228, 320)-net over F4 | [i] | ||