Best Known (52−20, 52, s)-Nets in Base 3
(52−20, 52, 68)-Net over F3 — Constructive and digital
Digital (32, 52, 68)-net over F3, using
- trace code for nets [i] based on digital (6, 26, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
(52−20, 52, 74)-Net over F3 — Digital
Digital (32, 52, 74)-net over F3, using
(52−20, 52, 676)-Net in Base 3 — Upper bound on s
There is no (32, 52, 677)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6 555346 651966 731471 042609 > 352 [i]