Best Known (59, 95, s)-Nets in Base 3
(59, 95, 80)-Net over F3 — Constructive and digital
Digital (59, 95, 80)-net over F3, using
- 7 times m-reduction [i] based on digital (59, 102, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 51, 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
- trace code for nets [i] based on digital (8, 51, 40)-net over F9, using
(59, 95, 118)-Net over F3 — Digital
Digital (59, 95, 118)-net over F3, using
(59, 95, 1227)-Net in Base 3 — Upper bound on s
There is no (59, 95, 1228)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2126 888909 857805 820498 029100 291510 508754 051817 > 395 [i]