Best Known (56−36, 56, s)-Nets in Base 2
(56−36, 56, 20)-Net over F2 — Constructive and digital
Digital (20, 56, 20)-net over F2, using
- t-expansion [i] based on digital (19, 56, 20)-net over F2, using
- net from sequence [i] based on digital (19, 19)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- net from sequence [i] based on digital (19, 19)-sequence over F2, using
(56−36, 56, 42)-Net in Base 2 — Upper bound on s
There is no (20, 56, 43)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 76009 588083 531314 > 256 [i]