Best Known (186−72, 186, s)-Nets in Base 2
(186−72, 186, 68)-Net over F2 — Constructive and digital
Digital (114, 186, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 93, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second 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) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
(186−72, 186, 94)-Net over F2 — Digital
Digital (114, 186, 94)-net over F2, using
(186−72, 186, 461)-Net in Base 2 — Upper bound on s
There is no (114, 186, 462)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 99 157484 127710 170189 472468 312607 152147 918086 566908 048630 > 2186 [i]