Best Known (225−50, 225, s)-Nets in Base 2
(225−50, 225, 260)-Net over F2 — Constructive and digital
Digital (175, 225, 260)-net over F2, using
- 21 times duplication [i] based on digital (174, 224, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 56, 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, 56, 65)-net over F16, using
(225−50, 225, 422)-Net over F2 — Digital
Digital (175, 225, 422)-net over F2, using
(225−50, 225, 5173)-Net in Base 2 — Upper bound on s
There is no (175, 225, 5174)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 53 967449 737840 932222 533319 757471 845806 930573 204760 986367 505924 866108 > 2225 [i]