Best Known (18, 18+22, s)-Nets in Base 9
(18, 18+22, 74)-Net over F9 — Constructive and digital
Digital (18, 40, 74)-net over F9, using
- t-expansion [i] based on digital (17, 40, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(18, 18+22, 1804)-Net in Base 9 — Upper bound on s
There is no (18, 40, 1805)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 148 220298 946687 009233 207503 401478 108601 > 940 [i]