Best Known (88, 88+56, s)-Nets in Base 9
(88, 88+56, 740)-Net over F9 — Constructive and digital
Digital (88, 144, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 72, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(88, 88+56, 853)-Net over F9 — Digital
Digital (88, 144, 853)-net over F9, using
(88, 88+56, 114125)-Net in Base 9 — Upper bound on s
There is no (88, 144, 114126)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 257607 589078 430689 557185 162456 754572 350258 728322 951856 951674 026364 304904 930303 598788 039493 023062 190791 666005 717811 247173 386259 120051 947201 > 9144 [i]