Best Known (105, 105+36, s)-Nets in Base 2
(105, 105+36, 144)-Net over F2 — Constructive and digital
Digital (105, 141, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 47, 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
(105, 105+36, 200)-Net over F2 — Digital
Digital (105, 141, 200)-net over F2, using
(105, 105+36, 1696)-Net in Base 2 — Upper bound on s
There is no (105, 141, 1697)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 2 806911 241026 056843 676170 478955 724033 978440 > 2141 [i]