Best Known (21, 21+38, s)-Nets in Base 2
(21, 21+38, 21)-Net over F2 — Constructive and digital
Digital (21, 59, 21)-net over F2, using
- net from sequence [i] based on digital (21, 20)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
(21, 21+38, 44)-Net in Base 2 — Upper bound on s
There is no (21, 59, 45)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 656899 359849 617408 > 259 [i]