Best Known (196−76, 196, s)-Nets in Base 3
(196−76, 196, 156)-Net over F3 — Constructive and digital
Digital (120, 196, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 98, 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
(196−76, 196, 201)-Net over F3 — Digital
Digital (120, 196, 201)-net over F3, using
(196−76, 196, 2134)-Net in Base 3 — Upper bound on s
There is no (120, 196, 2135)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3334 701978 830740 365583 223619 070550 935169 479803 851823 130177 951894 450616 527407 820564 020283 016613 > 3196 [i]