Best Known (184−70, 184, s)-Nets in Base 3
(184−70, 184, 156)-Net over F3 — Constructive and digital
Digital (114, 184, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 92, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
(184−70, 184, 201)-Net over F3 — Digital
Digital (114, 184, 201)-net over F3, using
(184−70, 184, 2207)-Net in Base 3 — Upper bound on s
There is no (114, 184, 2208)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6251 191708 625277 252631 746183 029044 969709 732852 453018 466921 993821 280273 239157 148264 097409 > 3184 [i]