Best Known (136−46, 136, s)-Nets in Base 3
(136−46, 136, 156)-Net over F3 — Constructive and digital
Digital (90, 136, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 68, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
(136−46, 136, 221)-Net over F3 — Digital
Digital (90, 136, 221)-net over F3, using
(136−46, 136, 3101)-Net in Base 3 — Upper bound on s
There is no (90, 136, 3102)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 77791 444880 394542 790497 298456 161580 511812 895662 711619 204909 294361 > 3136 [i]