Best Known (86, 168, s)-Nets in Base 4
(86, 168, 104)-Net over F4 — Constructive and digital
Digital (86, 168, 104)-net over F4, using
- t-expansion [i] based on digital (73, 168, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(86, 168, 133)-Net over F4 — Digital
Digital (86, 168, 133)-net over F4, using
(86, 168, 1543)-Net in Base 4 — Upper bound on s
There is no (86, 168, 1544)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 142263 708869 168117 720632 944622 252707 641448 101918 879223 373873 751824 977984 892111 910621 359162 012338 300352 > 4168 [i]