Best Known (208−84, 208, s)-Nets in Base 4
(208−84, 208, 130)-Net over F4 — Constructive and digital
Digital (124, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second 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) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(208−84, 208, 293)-Net over F4 — Digital
Digital (124, 208, 293)-net over F4, using
(208−84, 208, 5241)-Net in Base 4 — Upper bound on s
There is no (124, 208, 5242)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 169686 103856 275815 528790 348760 620835 434877 234791 575005 244147 012761 011906 963835 979081 387248 984553 836769 074570 919820 080553 821040 > 4208 [i]