Best Known (53, 69, s)-Nets in Base 2
(53, 69, 102)-Net over F2 — Constructive and digital
Digital (53, 69, 102)-net over F2, using
- trace code for nets [i] based on digital (7, 23, 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
(53, 69, 159)-Net over F2 — Digital
Digital (53, 69, 159)-net over F2, using
(53, 69, 1474)-Net in Base 2 — Upper bound on s
There is no (53, 69, 1475)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 591 162608 104132 790696 > 269 [i]