Information on Result #599255
There is no digital (79, 223, 284)-net over F3, because extracting embedded orthogonal array would yield linear OA(3223, 284, F3, 144) (dual of [284, 61, 145]-code), but
- residual code [i] would yield OA(379, 139, S3, 48), but
- the linear programming bound shows that M ≥ 50 288774 556502 552979 660125 115218 456368 310549 423022 168918 582978 795551 485882 074444 648171 632226 289738 754149 887332 083901 197203 302095 178151 432355 680080 363765 867057 861079 113887 498268 062169 307278 067781 076899 786375 278313 / 1 005522 717306 856140 949852 324268 723746 442220 079713 834760 775274 718454 197834 327923 327924 500288 387852 716262 070035 331120 864819 171639 324760 829355 613325 385992 572938 220356 162952 927625 > 379 [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 (79, 224, 284)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 225, 284)-net over F3 | [i] | ||