Information on Result #599099
There is no digital (59, 164, 242)-net over F3, because extracting embedded orthogonal array would yield linear OA(3164, 242, F3, 105) (dual of [242, 78, 106]-code), but
- residual code [i] would yield OA(359, 136, S3, 35), but
- the linear programming bound shows that M ≥ 22 726839 204691 891253 644696 898369 207187 081234 181735 714843 341275 897616 762362 710018 187521 018627 172327 868695 031408 531569 772970 640083 192156 200366 308595 435159 925930 757650 433436 609239 366400 / 1549 254697 196676 010642 793897 637084 831954 187799 248006 962271 072379 219020 389873 109263 689496 974500 056880 902187 125508 048087 135151 525741 030050 717474 931926 817179 > 359 [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 (59, 165, 242)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (59, 166, 242)-net over F3 | [i] | ||