Best Known (33, 59, s)-Nets in Base 8
(33, 59, 208)-Net over F8 — Constructive and digital
Digital (33, 59, 208)-net over F8, using
- 1 times m-reduction [i] based on digital (33, 60, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 30, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 30, 104)-net over F64, using
(33, 59, 226)-Net over F8 — Digital
Digital (33, 59, 226)-net over F8, using
- 1 times m-reduction [i] based on digital (33, 60, 226)-net over F8, using
- trace code for nets [i] based on digital (3, 30, 113)-net over F64, using
- net from sequence [i] based on digital (3, 112)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 113, using
- net from sequence [i] based on digital (3, 112)-sequence over F64, using
- trace code for nets [i] based on digital (3, 30, 113)-net over F64, using
(33, 59, 10153)-Net in Base 8 — Upper bound on s
There is no (33, 59, 10154)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 191709 322826 330511 122299 435261 518789 877277 166089 006040 > 859 [i]