Best Known (4, 4+21, s)-Nets in Base 9
(4, 4+21, 30)-Net over F9 — Constructive and digital
Digital (4, 25, 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
(4, 4+21, 104)-Net in Base 9 — Upper bound on s
There is no (4, 25, 105)-net in base 9, because
- 1 times m-reduction [i] would yield (4, 24, 105)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 81457 908946 353880 842001 > 924 [i]