Best Known (153−44, 153, s)-Nets in Base 3
(153−44, 153, 246)-Net over F3 — Constructive and digital
Digital (109, 153, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 51, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
(153−44, 153, 407)-Net over F3 — Digital
Digital (109, 153, 407)-net over F3, using
(153−44, 153, 9397)-Net in Base 3 — Upper bound on s
There is no (109, 153, 9398)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 10 011178 964902 241173 702860 113585 939358 517434 727135 605648 548142 461726 589717 > 3153 [i]