Best Known (158−46, 158, s)-Nets in Base 3
(158−46, 158, 228)-Net over F3 — Constructive and digital
Digital (112, 158, 228)-net over F3, using
- 1 times m-reduction [i] based on digital (112, 159, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 53, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- trace code for nets [i] based on digital (6, 53, 76)-net over F27, using
(158−46, 158, 401)-Net over F3 — Digital
Digital (112, 158, 401)-net over F3, using
(158−46, 158, 8911)-Net in Base 3 — Upper bound on s
There is no (112, 158, 8912)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2430 999305 742117 167205 156278 060620 474103 386594 064905 197809 956617 880190 280129 > 3158 [i]