Best Known (62, 124, s)-Nets in Base 9
(62, 124, 164)-Net over F9 — Constructive and digital
Digital (62, 124, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 62, 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
(62, 124, 236)-Net over F9 — Digital
Digital (62, 124, 236)-net over F9, using
(62, 124, 10165)-Net in Base 9 — Upper bound on s
There is no (62, 124, 10166)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 21251 077723 257234 531652 407613 766190 155601 770881 682907 032532 873074 556488 752415 406820 776974 423175 174659 915084 837747 855249 > 9124 [i]