Information on Result #599600
There is no digital (62, 218, 372)-net over F4, because extracting embedded orthogonal array would yield linear OA(4218, 372, F4, 156) (dual of [372, 154, 157]-code), but
- residual code [i] would yield OA(462, 215, S4, 39), but
- the linear programming bound shows that M ≥ 12718 083503 539266 529007 190946 224090 701310 717998 449746 183117 383672 455579 566080 / 595 821431 971093 361396 591608 721211 764591 > 462 [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 (62, 219, 372)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (62, 220, 372)-net over F4 | [i] | ||
| 3 | No digital (62, 221, 372)-net over F4 | [i] | ||