Best Known (208−52, 208, s)-Nets in Base 3
(208−52, 208, 328)-Net over F3 — Constructive and digital
Digital (156, 208, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 52, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
(208−52, 208, 877)-Net over F3 — Digital
Digital (156, 208, 877)-net over F3, using
(208−52, 208, 34587)-Net in Base 3 — Upper bound on s
There is no (156, 208, 34588)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1743 980853 468498 800707 044460 594347 433156 398660 748680 561383 594483 704253 299751 239134 699278 541483 309513 > 3208 [i]