Best Known (160−34, 160, s)-Nets in Base 2
(160−34, 160, 260)-Net over F2 — Constructive and digital
Digital (126, 160, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 40, 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
(160−34, 160, 363)-Net over F2 — Digital
Digital (126, 160, 363)-net over F2, using
(160−34, 160, 4863)-Net in Base 2 — Upper bound on s
There is no (126, 160, 4864)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 464146 894569 519044 457063 370265 096314 224329 818737 > 2160 [i]