Best Known (60, 60+46, s)-Nets in Base 3
(60, 60+46, 72)-Net over F3 — Constructive and digital
Digital (60, 106, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 53, 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
(60, 60+46, 88)-Net over F3 — Digital
Digital (60, 106, 88)-net over F3, using
(60, 60+46, 723)-Net in Base 3 — Upper bound on s
There is no (60, 106, 724)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 386 496474 149430 282274 664251 091082 811579 800672 486705 > 3106 [i]