Best Known (86, 86+34, s)-Nets in Base 3
(86, 86+34, 228)-Net over F3 — Constructive and digital
Digital (86, 120, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 40, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(86, 86+34, 355)-Net over F3 — Digital
Digital (86, 120, 355)-net over F3, using
(86, 86+34, 8355)-Net in Base 3 — Upper bound on s
There is no (86, 120, 8356)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1798 734533 655497 378776 678355 042544 831941 527745 603730 953289 > 3120 [i]