Best Known (255−74, 255, s)-Nets in Base 2
(255−74, 255, 144)-Net over F2 — Constructive and digital
Digital (181, 255, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 85, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
(255−74, 255, 238)-Net over F2 — Digital
Digital (181, 255, 238)-net over F2, using
(255−74, 255, 1685)-Net in Base 2 — Upper bound on s
There is no (181, 255, 1686)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 58021 208400 739869 746986 642324 327032 180085 915263 192568 989554 753492 700707 000988 > 2255 [i]