Best Known (130, 130+124, s)-Nets in Base 4
(130, 130+124, 130)-Net over F4 — Constructive and digital
Digital (130, 254, 130)-net over F4, using
- t-expansion [i] based on digital (105, 254, 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+124, 192)-Net over F4 — Digital
Digital (130, 254, 192)-net over F4, using
(130, 130+124, 2284)-Net in Base 4 — Upper bound on s
There is no (130, 254, 2285)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 843 293214 612719 652230 747853 185959 407572 064873 451902 453760 340841 082202 460145 886348 267870 723469 169454 397243 135990 767121 470839 501326 957672 306254 409644 627680 > 4254 [i]