Best Known (210−86, 210, s)-Nets in Base 4
(210−86, 210, 130)-Net over F4 — Constructive and digital
Digital (124, 210, 130)-net over F4, using
- t-expansion [i] based on digital (105, 210, 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
(210−86, 210, 283)-Net over F4 — Digital
Digital (124, 210, 283)-net over F4, using
(210−86, 210, 4869)-Net in Base 4 — Upper bound on s
There is no (124, 210, 4870)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 712963 967314 162999 140495 959027 917537 070919 035260 196081 123813 231482 017811 325304 040281 630656 139685 277660 687822 097133 825117 522112 > 4210 [i]