Best Known (43−32, 43, s)-Nets in Base 27
(43−32, 43, 96)-Net over F27 — Constructive and digital
Digital (11, 43, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
(43−32, 43, 100)-Net over F27 — Digital
Digital (11, 43, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(43−32, 43, 1829)-Net in Base 27 — Upper bound on s
There is no (11, 43, 1830)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 35 390492 917083 683348 676702 985468 478097 421092 942241 845063 465633 > 2743 [i]