Best Known (106, 178, s)-Nets in Base 3
(106, 178, 148)-Net over F3 — Constructive and digital
Digital (106, 178, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 89, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(106, 178, 164)-Net over F3 — Digital
Digital (106, 178, 164)-net over F3, using
(106, 178, 1597)-Net in Base 3 — Upper bound on s
There is no (106, 178, 1598)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 8 625528 786033 050180 285273 036895 057653 378622 695156 130745 394395 663647 168500 475824 149833 > 3178 [i]