Best Known (158−72, 158, s)-Nets in Base 3
(158−72, 158, 72)-Net over F3 — Constructive and digital
Digital (86, 158, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 79, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(158−72, 158, 106)-Net over F3 — Digital
Digital (86, 158, 106)-net over F3, using
(158−72, 158, 851)-Net in Base 3 — Upper bound on s
There is no (86, 158, 852)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2456 837565 135313 521957 037697 410390 056494 893490 591239 516990 723897 513619 644225 > 3158 [i]