Best Known (43, 123, s)-Nets in Base 9
(43, 123, 81)-Net over F9 — Constructive and digital
Digital (43, 123, 81)-net over F9, using
- t-expansion [i] based on digital (32, 123, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(43, 123, 147)-Net over F9 — Digital
Digital (43, 123, 147)-net over F9, using
- net from sequence [i] based on digital (43, 146)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 43 and N(F) ≥ 147, using
(43, 123, 1669)-Net in Base 9 — Upper bound on s
There is no (43, 123, 1670)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 2358 069816 967406 506073 447835 750437 041759 829099 464146 919644 766064 553496 187841 976454 462759 625162 513258 305629 127567 582849 > 9123 [i]