Best Known (142, 142+56, s)-Nets in Base 3
(142, 142+56, 282)-Net over F3 — Constructive and digital
Digital (142, 198, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 66, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
(142, 142+56, 534)-Net over F3 — Digital
Digital (142, 198, 534)-net over F3, using
(142, 142+56, 13335)-Net in Base 3 — Upper bound on s
There is no (142, 198, 13336)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 29542 256127 186862 513511 088287 551161 866555 095582 809430 088614 876951 966379 489610 958765 120894 284993 > 3198 [i]