Best Known (4, 8, s)-Nets in Base 8
(4, 8, 130)-Net over F8 — Constructive and digital
Digital (4, 8, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
(4, 8, 826)-Net in Base 8 — Upper bound on s
There is no (4, 8, 827)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 16 788101 > 88 [i]