Information on Result #599611
There is no digital (63, 223, 369)-net over F4, because extracting embedded orthogonal array would yield linear OA(4223, 369, F4, 160) (dual of [369, 146, 161]-code), but
- residual code [i] would yield OA(463, 208, S4, 40), but
- the linear programming bound shows that M ≥ 5 853210 937914 115965 830373 633983 054380 602394 595992 687313 196476 039443 785703 042842 624000 / 66248 338389 800632 875754 408934 650630 828021 253383 > 463 [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 (63, 224, 369)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (63, 225, 369)-net over F4 | [i] | ||
| 3 | No digital (63, 226, 369)-net over F4 | [i] | ||