Best Known (182−70, 182, s)-Nets in Base 2
(182−70, 182, 68)-Net over F2 — Constructive and digital
Digital (112, 182, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 91, 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
(182−70, 182, 93)-Net over F2 — Digital
Digital (112, 182, 93)-net over F2, using
(182−70, 182, 461)-Net in Base 2 — Upper bound on s
There is no (112, 182, 462)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 6 333337 022768 247201 596639 041587 983288 681919 001169 064460 > 2182 [i]