Best Known (95−27, 95, s)-Nets in Base 2
(95−27, 95, 75)-Net over F2 — Constructive and digital
Digital (68, 95, 75)-net over F2, using
- 1 times m-reduction [i] based on digital (68, 96, 75)-net over F2, using
- trace code for nets [i] based on digital (4, 32, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- trace code for nets [i] based on digital (4, 32, 25)-net over F8, using
(95−27, 95, 114)-Net over F2 — Digital
Digital (68, 95, 114)-net over F2, using
(95−27, 95, 832)-Net in Base 2 — Upper bound on s
There is no (68, 95, 833)-net in base 2, because
- 1 times m-reduction [i] would yield (68, 94, 833)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 19960 968046 793604 877032 052704 > 294 [i]