Best Known (58−50, 58, s)-Nets in Base 27
(58−50, 58, 84)-Net over F27 — Constructive and digital
Digital (8, 58, 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
(58−50, 58, 92)-Net over F27 — Digital
Digital (8, 58, 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
(58−50, 58, 806)-Net in Base 27 — Upper bound on s
There is no (8, 58, 807)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 106638 386697 819547 842284 571037 084991 614971 606423 072444 141300 075774 305925 085227 251079 > 2758 [i]