Best Known (116, 168, s)-Nets in Base 3
(116, 168, 192)-Net over F3 — Constructive and digital
Digital (116, 168, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 56, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(116, 168, 345)-Net over F3 — Digital
Digital (116, 168, 345)-net over F3, using
(116, 168, 6360)-Net in Base 3 — Upper bound on s
There is no (116, 168, 6361)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 143 853883 623169 068157 915203 860277 217071 199134 657558 415960 565233 968213 561239 329113 > 3168 [i]