Best Known (184−40, 184, s)-Nets in Base 2
(184−40, 184, 260)-Net over F2 — Constructive and digital
Digital (144, 184, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 46, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(184−40, 184, 379)-Net over F2 — Digital
Digital (144, 184, 379)-net over F2, using
(184−40, 184, 4854)-Net in Base 2 — Upper bound on s
There is no (144, 184, 4855)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 24 554651 209696 923528 834082 359266 150531 436304 445990 522581 > 2184 [i]