Best Known (33−18, 33, s)-Nets in Base 3
(33−18, 33, 28)-Net over F3 — Constructive and digital
Digital (15, 33, 28)-net over F3, using
- net from sequence [i] based on digital (15, 27)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
(33−18, 33, 108)-Net in Base 3 — Upper bound on s
There is no (15, 33, 109)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 5909 097026 567355 > 333 [i]