Best Known (158, 158+64, s)-Nets in Base 3
(158, 158+64, 282)-Net over F3 — Constructive and digital
Digital (158, 222, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 74, 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
(158, 158+64, 552)-Net over F3 — Digital
Digital (158, 222, 552)-net over F3, using
(158, 158+64, 13026)-Net in Base 3 — Upper bound on s
There is no (158, 222, 13027)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 8343 336461 479243 599162 599094 599725 626806 338667 914318 306309 205654 796065 961484 391740 582415 103885 103962 490305 > 3222 [i]