Information on Result #599637
There is no digital (65, 249, 298)-net over F4, because extracting embedded orthogonal array would yield linear OA(4249, 298, F4, 184) (dual of [298, 49, 185]-code), but
- residual code [i] would yield OA(465, 113, S4, 46), but
- the linear programming bound shows that M ≥ 145 402369 805359 268193 209685 952643 209942 587568 332064 303419 732807 154505 932977 868145 129044 024267 389501 535040 862760 730624 / 100423 807776 117676 644806 780906 988983 236254 180840 898357 650546 636091 023031 034405 > 465 [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 (65, 250, 298)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 251, 298)-net over F4 | [i] | ||
| 3 | No digital (65, 252, 298)-net over F4 | [i] | ||