Best Known (18, 18+62, s)-Nets in Base 9
(18, 18+62, 74)-Net over F9 — Constructive and digital
Digital (18, 80, 74)-net over F9, using
- t-expansion [i] based on digital (17, 80, 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+62, 431)-Net in Base 9 — Upper bound on s
There is no (18, 80, 432)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 22368 440917 603235 989770 986201 554742 798365 467821 131274 312792 727377 700377 819265 > 980 [i]