Best Known (74, 74+58, s)-Nets in Base 3
(74, 74+58, 80)-Net over F3 — Constructive and digital
Digital (74, 132, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 66, 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
(74, 74+58, 101)-Net over F3 — Digital
Digital (74, 132, 101)-net over F3, using
(74, 74+58, 838)-Net in Base 3 — Upper bound on s
There is no (74, 132, 839)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 971 769231 608252 285879 908713 719330 818167 671574 296323 852982 763927 > 3132 [i]