Best Known (174−50, 174, s)-Nets in Base 3
(174−50, 174, 252)-Net over F3 — Constructive and digital
Digital (124, 174, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 58, 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
(174−50, 174, 454)-Net over F3 — Digital
Digital (124, 174, 454)-net over F3, using
(174−50, 174, 10625)-Net in Base 3 — Upper bound on s
There is no (124, 174, 10626)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 104551 468369 135732 061757 712035 419831 657019 827879 907442 772833 660494 223075 248887 974293 > 3174 [i]