Best Known (130, 130+110, s)-Nets in Base 4
(130, 130+110, 130)-Net over F4 — Constructive and digital
Digital (130, 240, 130)-net over F4, using
- t-expansion [i] based on digital (105, 240, 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
(130, 130+110, 222)-Net over F4 — Digital
Digital (130, 240, 222)-net over F4, using
(130, 130+110, 2969)-Net in Base 4 — Upper bound on s
There is no (130, 240, 2970)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 157787 525286 163722 486036 167756 039274 406506 813552 583684 883390 318358 852467 492814 322272 325962 242959 687814 472890 913182 950383 432673 213911 291750 969520 > 4240 [i]