Best Known (162−40, 162, s)-Nets in Base 2
(162−40, 162, 195)-Net over F2 — Constructive and digital
Digital (122, 162, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 54, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(162−40, 162, 244)-Net over F2 — Digital
Digital (122, 162, 244)-net over F2, using
(162−40, 162, 2249)-Net in Base 2 — Upper bound on s
There is no (122, 162, 2250)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 5 888561 167396 974394 156828 616011 028605 449681 209176 > 2162 [i]