Information on Result #1850312
There is no (66, 719, 145)-net in base 3, because extracting embedded OOA would yield OOA(3719, 145, S3, 5, 653), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1638 834127 452307 875008 132875 667903 661264 239096 104086 728675 639164 818834 226228 048527 597664 889413 237628 971896 648933 820436 349875 931068 151737 004859 300343 286309 261053 195923 154288 922188 058969 788023 222026 394939 469717 887665 047964 223136 888340 951072 970131 734458 866484 192802 931056 662184 412932 461024 201199 205585 763881 073015 551172 271654 195159 847466 582317 202182 / 109 > 3719 [i]
Mode: Bound.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (66, m, 145)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |