Best Known (126, 168, s)-Nets in Base 3
(126, 168, 328)-Net over F3 — Constructive and digital
Digital (126, 168, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 42, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
(126, 168, 740)-Net over F3 — Digital
Digital (126, 168, 740)-net over F3, using
(126, 168, 28452)-Net in Base 3 — Upper bound on s
There is no (126, 168, 28453)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 143 397626 872946 036628 229133 155581 419929 570545 985194 957857 839937 647603 920234 782747 > 3168 [i]