Best Known (140, 140+58, s)-Nets in Base 3
(140, 140+58, 252)-Net over F3 — Constructive and digital
Digital (140, 198, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 66, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(140, 140+58, 475)-Net over F3 — Digital
Digital (140, 198, 475)-net over F3, using
(140, 140+58, 10531)-Net in Base 3 — Upper bound on s
There is no (140, 198, 10532)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 29521 792151 044933 461407 961978 517967 444211 675076 116013 282616 518977 957299 790616 425665 208039 877545 > 3198 [i]