Best Known (108−22, 108, s)-Nets in Base 2
(108−22, 108, 196)-Net over F2 — Constructive and digital
Digital (86, 108, 196)-net over F2, using
- trace code for nets [i] based on digital (5, 27, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
(108−22, 108, 314)-Net over F2 — Digital
Digital (86, 108, 314)-net over F2, using
(108−22, 108, 4415)-Net in Base 2 — Upper bound on s
There is no (86, 108, 4416)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 324 648675 891504 810878 924288 782953 > 2108 [i]