Best Known (140, 140+64, s)-Nets in Base 3
(140, 140+64, 192)-Net over F3 — Constructive and digital
Digital (140, 204, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 68, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(140, 140+64, 392)-Net over F3 — Digital
Digital (140, 204, 392)-net over F3, using
(140, 140+64, 7007)-Net in Base 3 — Upper bound on s
There is no (140, 204, 7008)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21 577948 494099 555626 698680 202373 672505 218009 976601 527832 492376 603459 298896 756683 818001 534823 952385 > 3204 [i]