Best Known (32, 56, s)-Nets in Base 3
(32, 56, 60)-Net over F3 — Constructive and digital
Digital (32, 56, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 28, 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
(32, 56, 434)-Net in Base 3 — Upper bound on s
There is no (32, 56, 435)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 535 117457 537167 771864 349001 > 356 [i]