Best Known (37−26, 37, s)-Nets in Base 9
(37−26, 37, 40)-Net over F9 — Constructive and digital
Digital (11, 37, 40)-net over F9, using
- t-expansion [i] based on digital (8, 37, 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
(37−26, 37, 55)-Net over F9 — Digital
Digital (11, 37, 55)-net over F9, using
- net from sequence [i] based on digital (11, 54)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 11 and N(F) ≥ 55, using
(37−26, 37, 360)-Net in Base 9 — Upper bound on s
There is no (11, 37, 361)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 204526 965282 204758 776606 947069 654057 > 937 [i]