Best Known (10, 10+28, s)-Nets in Base 9
(10, 10+28, 40)-Net over F9 — Constructive and digital
Digital (10, 38, 40)-net over F9, using
- t-expansion [i] based on digital (8, 38, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(10, 10+28, 54)-Net over F9 — Digital
Digital (10, 38, 54)-net over F9, using
- net from sequence [i] based on digital (10, 53)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 10 and N(F) ≥ 54, using
(10, 10+28, 285)-Net in Base 9 — Upper bound on s
There is no (10, 38, 286)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 1 834118 012973 629861 423972 308521 201633 > 938 [i]