Best Known (35, 62, s)-Nets in Base 3
(35, 62, 60)-Net over F3 — Constructive and digital
Digital (35, 62, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 31, 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
(35, 62, 478)-Net in Base 3 — Upper bound on s
There is no (35, 62, 479)-net in base 3, because
- 1 times m-reduction [i] would yield (35, 61, 479)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 128057 186234 600071 214586 385575 > 361 [i]