Best Known (52, 72, s)-Nets in Base 2
(52, 72, 75)-Net over F2 — Constructive and digital
Digital (52, 72, 75)-net over F2, using
- trace code for nets [i] based on digital (4, 24, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
(52, 72, 98)-Net over F2 — Digital
Digital (52, 72, 98)-net over F2, using
(52, 72, 651)-Net in Base 2 — Upper bound on s
There is no (52, 72, 652)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 4756 947691 435970 797099 > 272 [i]