Best Known (128−58, 128, s)-Nets in Base 3
(128−58, 128, 68)-Net over F3 — Constructive and digital
Digital (70, 128, 68)-net over F3, using
- trace code for nets [i] based on digital (6, 64, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
(128−58, 128, 91)-Net over F3 — Digital
Digital (70, 128, 91)-net over F3, using
(128−58, 128, 716)-Net in Base 3 — Upper bound on s
There is no (70, 128, 717)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 933650 704935 139954 871733 553303 637083 072316 113866 925303 899083 > 3128 [i]