Best Known (8−6, 8, s)-Nets in Base 27
(8−6, 8, 48)-Net over F27 — Constructive and digital
Digital (2, 8, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
(8−6, 8, 82)-Net in Base 27 — Constructive
(2, 8, 82)-net in base 27, using
- base change [i] based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
(8−6, 8, 457)-Net in Base 27 — Upper bound on s
There is no (2, 8, 458)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 283485 944353 > 278 [i]