Best Known (8−5, 8, s)-Nets in Base 3
(8−5, 8, 18)-Net over F3 — Constructive and digital
Digital (3, 8, 18)-net over F3, using
(8−5, 8, 29)-Net in Base 3 — Upper bound on s
There is no (3, 8, 30)-net in base 3, because
- extracting embedded OOA [i] would yield OOA(38, 30, S3, 2, 5), but
- the linear programming bound for OOAs shows that M ≥ 2 101767 996888 / 309 215311 > 38 [i]