Best Known (92, 140, s)-Nets in Base 3
(92, 140, 156)-Net over F3 — Constructive and digital
Digital (92, 140, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 70, 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
(92, 140, 217)-Net over F3 — Digital
Digital (92, 140, 217)-net over F3, using
(92, 140, 2951)-Net in Base 3 — Upper bound on s
There is no (92, 140, 2952)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6 268771 182408 417755 395489 161020 970988 665120 275922 429420 715639 936257 > 3140 [i]