Best Known (156−42, 156, s)-Nets in Base 3
(156−42, 156, 282)-Net over F3 — Constructive and digital
Digital (114, 156, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 52, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
(156−42, 156, 524)-Net over F3 — Digital
Digital (114, 156, 524)-net over F3, using
(156−42, 156, 15177)-Net in Base 3 — Upper bound on s
There is no (114, 156, 15178)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 269 832554 261962 052339 230315 369180 224538 932336 038916 692035 934281 357666 370637 > 3156 [i]