Best Known (162−74, 162, s)-Nets in Base 3
(162−74, 162, 72)-Net over F3 — Constructive and digital
Digital (88, 162, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 81, 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
(162−74, 162, 108)-Net over F3 — Digital
Digital (88, 162, 108)-net over F3, using
(162−74, 162, 863)-Net in Base 3 — Upper bound on s
There is no (88, 162, 864)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 201594 582687 053288 046334 641833 717188 124815 702367 050065 943766 249626 209796 558529 > 3162 [i]