Best Known (48, 48+34, s)-Nets in Base 3
(48, 48+34, 72)-Net over F3 — Constructive and digital
Digital (48, 82, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 41, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(48, 48+34, 82)-Net over F3 — Digital
Digital (48, 82, 82)-net over F3, using
(48, 48+34, 701)-Net in Base 3 — Upper bound on s
There is no (48, 82, 702)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1330 716496 226663 078861 406526 337750 251357 > 382 [i]