Best Known (150, 214, s)-Nets in Base 3
(150, 214, 246)-Net over F3 — Constructive and digital
Digital (150, 214, 246)-net over F3, using
- 31 times duplication [i] based on digital (149, 213, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 71, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- trace code for nets [i] based on digital (7, 71, 82)-net over F27, using
(150, 214, 475)-Net over F3 — Digital
Digital (150, 214, 475)-net over F3, using
(150, 214, 9890)-Net in Base 3 — Upper bound on s
There is no (150, 214, 9891)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 272345 728151 683205 912605 171323 749606 622371 688779 379849 054625 004972 629473 589002 403836 289167 164431 709633 > 3214 [i]