Information on Result #1850345
There is no (77, 829, 167)-net in base 3, because extracting embedded OOA would yield OOA(3829, 167, S3, 5, 752), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 95 990108 485957 288904 598860 495980 114713 140508 312656 277183 323509 392425 769223 982023 100832 077881 345702 982528 762212 345950 136146 607470 700818 456075 380209 724546 032763 338621 218805 960621 295054 309539 357203 900014 623899 718344 426295 419190 909646 308296 698789 891735 947234 742531 623631 216636 352364 710057 148813 797509 826899 454896 203449 301960 213871 481402 909137 128430 818089 526466 986322 002599 178089 020566 464022 362369 180123 / 251 > 3829 [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 (77, m, 167)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |