Best Known (150, 150+66, s)-Nets in Base 3
(150, 150+66, 228)-Net over F3 — Constructive and digital
Digital (150, 216, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 72, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(150, 150+66, 447)-Net over F3 — Digital
Digital (150, 216, 447)-net over F3, using
(150, 150+66, 8703)-Net in Base 3 — Upper bound on s
There is no (150, 216, 8704)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 464585 488061 340383 333960 969223 373048 490590 227817 984375 295236 396750 826300 235539 112834 219334 346501 243905 > 3216 [i]