Information on Result #599535
There is no digital (55, 211, 261)-net over F4, because extracting embedded orthogonal array would yield linear OA(4211, 261, F4, 156) (dual of [261, 50, 157]-code), but
- residual code [i] would yield OA(455, 104, S4, 39), but
- the linear programming bound shows that M ≥ 7 723473 632829 389285 976355 541453 254660 289881 978452 313500 994274 223551 712140 212225 490113 864437 287145 948134 332311 964905 619217 330530 016843 066600 998037 356544 / 5779 127016 748909 094986 667927 666304 897550 201537 672172 684327 799525 226094 950381 356180 131377 653225 244035 788465 702327 464125 > 455 [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 (55, 212, 261)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (55, 213, 261)-net over F4 | [i] | ||
| 3 | No digital (55, 214, 261)-net over F4 | [i] | ||