Best Known (56, 56+84, s)-Nets in Base 2
(56, 56+84, 42)-Net over F2 — Constructive and digital
Digital (56, 140, 42)-net over F2, using
- t-expansion [i] based on digital (54, 140, 42)-net over F2, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
(56, 56+84, 112)-Net in Base 2 — Upper bound on s
There is no (56, 140, 113)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 433999 729955 892848 531054 277899 318868 796544 > 2140 [i]