Best Known (208−96, 208, s)-Nets in Base 3
(208−96, 208, 80)-Net over F3 — Constructive and digital
Digital (112, 208, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 104, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(208−96, 208, 130)-Net over F3 — Digital
Digital (112, 208, 130)-net over F3, using
(208−96, 208, 1048)-Net in Base 3 — Upper bound on s
There is no (112, 208, 1049)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1819 654506 707218 835687 839727 082414 024972 452517 669652 419882 847969 872341 803467 636600 807685 261837 234625 > 3208 [i]