Best Known (37, 59, s)-Nets in Base 3
(37, 59, 72)-Net over F3 — Constructive and digital
Digital (37, 59, 72)-net over F3, using
- 1 times m-reduction [i] based on digital (37, 60, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 30, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- trace code for nets [i] based on digital (7, 30, 36)-net over F9, using
(37, 59, 88)-Net over F3 — Digital
Digital (37, 59, 88)-net over F3, using
(37, 59, 878)-Net in Base 3 — Upper bound on s
There is no (37, 59, 879)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 14141 715558 876480 788888 917931 > 359 [i]