Best Known (190−62, 190, s)-Nets in Base 2
(190−62, 190, 112)-Net over F2 — Constructive and digital
Digital (128, 190, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 95, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(190−62, 190, 140)-Net over F2 — Digital
Digital (128, 190, 140)-net over F2, using
(190−62, 190, 824)-Net in Base 2 — Upper bound on s
There is no (128, 190, 825)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1617 403800 139914 962798 034290 158261 160049 181525 128985 674624 > 2190 [i]