Best Known (8, 8+20, s)-Nets in Base 27
(8, 8+20, 84)-Net over F27 — Constructive and digital
Digital (8, 28, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
(8, 8+20, 92)-Net over F27 — Digital
Digital (8, 28, 92)-net over F27, using
- net from sequence [i] based on digital (8, 91)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 92, using
(8, 8+20, 100)-Net in Base 27 — Constructive
(8, 28, 100)-net in base 27, using
- base change [i] based on digital (1, 21, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(8, 8+20, 1768)-Net in Base 27 — Upper bound on s
There is no (8, 28, 1769)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 12000 958906 765802 015693 757072 485814 347209 > 2728 [i]