Best Known (147−42, 147, s)-Nets in Base 2
(147−42, 147, 102)-Net over F2 — Constructive and digital
Digital (105, 147, 102)-net over F2, using
- trace code for nets [i] based on digital (7, 49, 34)-net over F8, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
(147−42, 147, 155)-Net over F2 — Digital
Digital (105, 147, 155)-net over F2, using
(147−42, 147, 1080)-Net in Base 2 — Upper bound on s
There is no (105, 147, 1081)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 180 581625 222209 227152 403184 018846 364733 855316 > 2147 [i]