Best Known (3, 9, s)-Nets in Base 16
(3, 9, 38)-Net over F16 — Constructive and digital
Digital (3, 9, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
(3, 9, 65)-Net in Base 16 — Constructive
(3, 9, 65)-net in base 16, using
- base change [i] based on digital (0, 6, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
(3, 9, 494)-Net in Base 16 — Upper bound on s
There is no (3, 9, 495)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 68721 070276 > 169 [i]