Best Known (156, 156+50, s)-Nets in Base 3
(156, 156+50, 400)-Net over F3 — Constructive and digital
Digital (156, 206, 400)-net over F3, using
- 32 times duplication [i] based on digital (154, 204, 400)-net over F3, using
- trace code for nets [i] based on digital (1, 51, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- trace code for nets [i] based on digital (1, 51, 100)-net over F81, using
(156, 156+50, 980)-Net over F3 — Digital
Digital (156, 206, 980)-net over F3, using
(156, 156+50, 43434)-Net in Base 3 — Upper bound on s
There is no (156, 206, 43435)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 193 740718 990761 247613 798853 231128 404310 106451 538023 842259 306912 341415 082692 164015 565700 451218 415207 > 3206 [i]