Best Known (136, 221, s)-Nets in Base 2
(136, 221, 75)-Net over F2 — Constructive and digital
Digital (136, 221, 75)-net over F2, using
- 1 times m-reduction [i] based on digital (136, 222, 75)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (39, 82, 33)-net over F2, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- digital (54, 140, 42)-net over F2, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- digital (39, 82, 33)-net over F2, using
- (u, u+v)-construction [i] based on
(136, 221, 110)-Net over F2 — Digital
Digital (136, 221, 110)-net over F2, using
(136, 221, 563)-Net in Base 2 — Upper bound on s
There is no (136, 221, 564)-net in base 2, because
- 1 times m-reduction [i] would yield (136, 220, 564)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 1 752725 072959 154677 400095 040474 809902 956713 000599 200888 250793 677278 > 2220 [i]