Best Known (196−60, 196, s)-Nets in Base 3
(196−60, 196, 204)-Net over F3 — Constructive and digital
Digital (136, 196, 204)-net over F3, using
- 31 times duplication [i] based on digital (135, 195, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 65, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- trace code for nets [i] based on digital (5, 65, 68)-net over F27, using
(196−60, 196, 408)-Net over F3 — Digital
Digital (136, 196, 408)-net over F3, using
(196−60, 196, 7858)-Net in Base 3 — Upper bound on s
There is no (136, 196, 7859)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3288 491331 923324 862344 973991 914542 957323 067265 679196 415329 844671 204958 562168 069031 212226 456205 > 3196 [i]