Best Known (54−46, 54, s)-Nets in Base 27
(54−46, 54, 84)-Net over F27 — Constructive and digital
Digital (8, 54, 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
(54−46, 54, 92)-Net over F27 — Digital
Digital (8, 54, 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
(54−46, 54, 820)-Net in Base 27 — Upper bound on s
There is no (8, 54, 821)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 201782 209865 184068 029345 582159 916212 032389 876104 552344 566917 206112 442807 844003 > 2754 [i]