Information on Result #599098
There is no digital (59, 161, 252)-net over F3, because extracting embedded orthogonal array would yield linear OA(3161, 252, F3, 102) (dual of [252, 91, 103]-code), but
- residual code [i] would yield OA(359, 149, S3, 34), but
- the linear programming bound shows that M ≥ 161072 631961 680185 280440 930117 244701 258542 024979 482340 755321 093357 664942 075114 897456 280621 705350 294957 376375 / 10 335291 754987 667559 057108 370888 319896 679664 836625 228437 457068 286900 284102 491501 > 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, 162, 252)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (59, 163, 252)-net over F3 | [i] | ||