Best Known (152, 152+86, s)-Nets in Base 2
(152, 152+86, 112)-Net over F2 — Constructive and digital
Digital (152, 238, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 119, 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
(152, 152+86, 135)-Net over F2 — Digital
Digital (152, 238, 135)-net over F2, using
(152, 152+86, 721)-Net in Base 2 — Upper bound on s
There is no (152, 238, 722)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 465053 773744 872340 872265 094075 589648 812869 228694 587660 501399 483206 696000 > 2238 [i]