Best Known (22, 22+14, s)-Nets in Base 3
(22, 22+14, 60)-Net over F3 — Constructive and digital
Digital (22, 36, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 18, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
(22, 22+14, 473)-Net in Base 3 — Upper bound on s
There is no (22, 36, 474)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 150106 969249 847817 > 336 [i]