Best Known (92, 92+58, s)-Nets in Base 3
(92, 92+58, 148)-Net over F3 — Constructive and digital
Digital (92, 150, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 75, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(92, 92+58, 161)-Net over F3 — Digital
Digital (92, 150, 161)-net over F3, using
(92, 92+58, 1685)-Net in Base 3 — Upper bound on s
There is no (92, 150, 1686)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 373144 351029 650046 304742 123911 799253 529664 663189 028180 531562 476672 621397 > 3150 [i]