Best Known (102, 102+30, s)-Nets in Base 2
(102, 102+30, 195)-Net over F2 — Constructive and digital
Digital (102, 132, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 44, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(102, 102+30, 258)-Net over F2 — Digital
Digital (102, 132, 258)-net over F2, using
(102, 102+30, 2841)-Net in Base 2 — Upper bound on s
There is no (102, 132, 2842)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 5469 179078 006416 960074 014602 842163 606328 > 2132 [i]