Best Known (64−43, 64, s)-Nets in Base 2
(64−43, 64, 21)-Net over F2 — Constructive and digital
Digital (21, 64, 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
(64−43, 64, 43)-Net in Base 2 — Upper bound on s
There is no (21, 64, 44)-net in base 2, because
- 1 times m-reduction [i] would yield (21, 63, 44)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 10 583595 038040 435020 > 263 [i]