Best Known (80−32, 80, s)-Nets in Base 3
(80−32, 80, 80)-Net over F3 — Constructive and digital
Digital (48, 80, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 40, 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
(80−32, 80, 89)-Net over F3 — Digital
Digital (48, 80, 89)-net over F3, using
(80−32, 80, 810)-Net in Base 3 — Upper bound on s
There is no (48, 80, 811)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 148 160495 515064 544527 019251 497509 167073 > 380 [i]