Best Known (21, 21+20, s)-Nets in Base 3
(21, 21+20, 32)-Net over F3 — Constructive and digital
Digital (21, 41, 32)-net over F3, using
- net from sequence [i] based on digital (21, 31)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
(21, 21+20, 33)-Net over F3 — Digital
Digital (21, 41, 33)-net over F3, using
(21, 21+20, 195)-Net in Base 3 — Upper bound on s
There is no (21, 41, 196)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 37 570065 223216 130361 > 341 [i]