Best Known (150, 194, s)-Nets in Base 3
(150, 194, 600)-Net over F3 — Constructive and digital
Digital (150, 194, 600)-net over F3, using
- 32 times duplication [i] based on digital (148, 192, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 48, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- trace code for nets [i] based on digital (4, 48, 150)-net over F81, using
(150, 194, 1221)-Net over F3 — Digital
Digital (150, 194, 1221)-net over F3, using
(150, 194, 72951)-Net in Base 3 — Upper bound on s
There is no (150, 194, 72952)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 364 356776 869509 750855 378423 631519 195890 302304 768875 156692 085324 846304 237126 818303 135155 996881 > 3194 [i]