Best Known (2, 2+9, s)-Nets in Base 27
(2, 2+9, 48)-Net over F27 — Constructive and digital
Digital (2, 11, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
(2, 2+9, 320)-Net in Base 27 — Upper bound on s
There is no (2, 11, 321)-net in base 27, because
- 1 times m-reduction [i] would yield (2, 10, 321)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 206 355057 092081 > 2710 [i]