Best Known (70, 106, s)-Nets in Base 3
(70, 106, 148)-Net over F3 — Constructive and digital
Digital (70, 106, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 53, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(70, 106, 178)-Net over F3 — Digital
Digital (70, 106, 178)-net over F3, using
(70, 106, 2419)-Net in Base 3 — Upper bound on s
There is no (70, 106, 2420)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 377 601841 350294 838276 606773 615811 764579 215160 006105 > 3106 [i]