Best Known (235−114, 235, s)-Nets in Base 3
(235−114, 235, 78)-Net over F3 — Constructive and digital
Digital (121, 235, 78)-net over F3, using
- net from sequence [i] based on digital (121, 77)-sequence over F3, using
- base reduction for sequences [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
- base reduction for sequences [i] based on digital (22, 77)-sequence over F9, using
(235−114, 235, 125)-Net over F3 — Digital
Digital (121, 235, 125)-net over F3, using
(235−114, 235, 968)-Net in Base 3 — Upper bound on s
There is no (121, 235, 969)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 13926 359711 131970 206325 447675 066209 281986 808297 111362 391826 750259 786184 133933 866969 324356 473311 171167 788747 512371 > 3235 [i]