Best Known (58, 58+32, s)-Nets in Base 9
(58, 58+32, 448)-Net over F9 — Constructive and digital
Digital (58, 90, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 45, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(58, 58+32, 930)-Net over F9 — Digital
Digital (58, 90, 930)-net over F9, using
(58, 58+32, 198171)-Net in Base 9 — Upper bound on s
There is no (58, 90, 198172)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 76 178071 178830 613495 304001 207399 497460 740499 139111 003729 933437 182235 903491 310977 737217 > 990 [i]