Best Known (12, 12+10, s)-Nets in Base 3
(12, 12+10, 32)-Net over F3 — Constructive and digital
Digital (12, 22, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 11, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
(12, 12+10, 159)-Net in Base 3 — Upper bound on s
There is no (12, 22, 160)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 32071 778625 > 322 [i]