Best Known (74−24, 74, s)-Nets in Base 9
(74−24, 74, 448)-Net over F9 — Constructive and digital
Digital (50, 74, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 37, 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
(74−24, 74, 1397)-Net over F9 — Digital
Digital (50, 74, 1397)-net over F9, using
(74−24, 74, 506711)-Net in Base 9 — Upper bound on s
There is no (50, 74, 506712)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 41110 158101 696950 745590 536077 551781 377461 352407 468240 983925 353816 278785 > 974 [i]