Best Known (64−56, 64, s)-Nets in Base 27
(64−56, 64, 84)-Net over F27 — Constructive and digital
Digital (8, 64, 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
(64−56, 64, 92)-Net over F27 — Digital
Digital (8, 64, 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
(64−56, 64, 797)-Net in Base 27 — Upper bound on s
There is no (8, 64, 798)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 40 779569 154107 502295 241212 990658 437390 976993 666863 885535 958043 090605 161789 992936 726708 390009 > 2764 [i]