Best Known (69, 120, s)-Nets in Base 2
(69, 120, 48)-Net over F2 — Constructive and digital
Digital (69, 120, 48)-net over F2, using
- net from sequence [i] based on digital (69, 47)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using
(69, 120, 53)-Net over F2 — Digital
Digital (69, 120, 53)-net over F2, using
(69, 120, 240)-Net in Base 2 — Upper bound on s
There is no (69, 120, 241)-net in base 2, because
- 1 times m-reduction [i] would yield (69, 119, 241)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 672683 029299 310722 346631 121576 190856 > 2119 [i]