Best Known (144, 192, s)-Nets in Base 3
(144, 192, 328)-Net over F3 — Constructive and digital
Digital (144, 192, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 48, 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
(144, 192, 822)-Net over F3 — Digital
Digital (144, 192, 822)-net over F3, using
(144, 192, 32135)-Net in Base 3 — Upper bound on s
There is no (144, 192, 32136)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 40 498115 020485 831362 520184 723983 053239 815413 368541 831135 605793 604949 262211 769522 134015 481089 > 3192 [i]