Best Known (67−56, 67, s)-Nets in Base 27
(67−56, 67, 96)-Net over F27 — Constructive and digital
Digital (11, 67, 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
(67−56, 67, 100)-Net over F27 — Digital
Digital (11, 67, 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
(67−56, 67, 1141)-Net in Base 27 — Upper bound on s
There is no (11, 67, 1142)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 800878 803117 262459 045033 769910 173235 183480 662148 083390 357445 925140 843133 122960 895707 098172 673785 > 2767 [i]