Best Known (36−28, 36, s)-Nets in Base 27
(36−28, 36, 84)-Net over F27 — Constructive and digital
Digital (8, 36, 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
(36−28, 36, 92)-Net over F27 — Digital
Digital (8, 36, 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
(36−28, 36, 1107)-Net in Base 27 — Upper bound on s
There is no (8, 36, 1108)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 3397 965388 126435 300377 072313 943379 696979 004495 349177 > 2736 [i]