Best Known (196−66, 196, s)-Nets in Base 3
(196−66, 196, 162)-Net over F3 — Constructive and digital
Digital (130, 196, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 98, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(196−66, 196, 303)-Net over F3 — Digital
Digital (130, 196, 303)-net over F3, using
(196−66, 196, 4456)-Net in Base 3 — Upper bound on s
There is no (130, 196, 4457)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3292 492844 593785 251184 730110 146862 837306 481623 414393 001195 788154 121116 460559 828888 820583 176275 > 3196 [i]