Best Known (144−52, 144, s)-Nets in Base 2
(144−52, 144, 66)-Net over F2 — Constructive and digital
Digital (92, 144, 66)-net over F2, using
- 10 times m-reduction [i] based on digital (92, 154, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 77, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 77, 33)-net over F4, using
(144−52, 144, 89)-Net over F2 — Digital
Digital (92, 144, 89)-net over F2, using
(144−52, 144, 453)-Net in Base 2 — Upper bound on s
There is no (92, 144, 454)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 23 260845 255072 284096 306459 372654 791277 260400 > 2144 [i]