Best Known (104, 104+60, s)-Nets in Base 3
(104, 104+60, 156)-Net over F3 — Constructive and digital
Digital (104, 164, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 82, 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
(104, 104+60, 203)-Net over F3 — Digital
Digital (104, 164, 203)-net over F3, using
(104, 104+60, 2414)-Net in Base 3 — Upper bound on s
There is no (104, 164, 2415)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 787118 419055 030157 782971 889655 202022 466456 523938 990848 154698 892789 417431 327525 > 3164 [i]