Best Known (33, 33+50, s)-Nets in Base 2
(33, 33+50, 24)-Net over F2 — Constructive and digital
Digital (33, 83, 24)-net over F2, using
- net from sequence [i] based on digital (33, 23)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 33 and N(F) ≥ 24, using
(33, 33+50, 28)-Net over F2 — Digital
Digital (33, 83, 28)-net over F2, using
- net from sequence [i] based on digital (33, 27)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 33 and N(F) ≥ 28, using
(33, 33+50, 69)-Net in Base 2 — Upper bound on s
There is no (33, 83, 70)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 10 186976 705307 081432 429064 > 283 [i]