Best Known (147−55, 147, s)-Nets in Base 2
(147−55, 147, 66)-Net over F2 — Constructive and digital
Digital (92, 147, 66)-net over F2, using
- 7 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
(147−55, 147, 83)-Net over F2 — Digital
Digital (92, 147, 83)-net over F2, using
(147−55, 147, 425)-Net in Base 2 — Upper bound on s
There is no (92, 147, 426)-net in base 2, because
- 1 times m-reduction [i] would yield (92, 146, 426)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 93 667868 803414 666751 538979 634202 024201 932696 > 2146 [i]