Best Known (60, 120, s)-Nets in Base 9
(60, 120, 164)-Net over F9 — Constructive and digital
Digital (60, 120, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 60, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
(60, 120, 229)-Net over F9 — Digital
Digital (60, 120, 229)-net over F9, using
(60, 120, 9859)-Net in Base 9 — Upper bound on s
There is no (60, 120, 9860)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 3 231668 236720 417016 671492 987701 760821 483293 627879 957346 093817 369257 164624 369429 837925 896835 422170 192296 562570 697537 > 9120 [i]