Best Known (208−46, 208, s)-Nets in Base 2
(208−46, 208, 260)-Net over F2 — Constructive and digital
Digital (162, 208, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 52, 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
(208−46, 208, 400)-Net over F2 — Digital
Digital (162, 208, 400)-net over F2, using
(208−46, 208, 4941)-Net in Base 2 — Upper bound on s
There is no (162, 208, 4942)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 412 612106 404982 569964 608972 518355 827104 600754 398750 945380 338080 > 2208 [i]