Best Known (244−54, 244, s)-Nets in Base 2
(244−54, 244, 260)-Net over F2 — Constructive and digital
Digital (190, 244, 260)-net over F2, using
- t-expansion [i] based on digital (189, 244, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 61, 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
- trace code for nets [i] based on digital (6, 61, 65)-net over F16, using
(244−54, 244, 457)-Net over F2 — Digital
Digital (190, 244, 457)-net over F2, using
(244−54, 244, 5698)-Net in Base 2 — Upper bound on s
There is no (190, 244, 5699)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 28 270638 921281 149708 641875 352280 050406 175878 488217 625136 845145 180466 501296 > 2244 [i]