Best Known (130, 130+130, s)-Nets in Base 4
(130, 130+130, 130)-Net over F4 — Constructive and digital
Digital (130, 260, 130)-net over F4, using
- t-expansion [i] based on digital (105, 260, 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+130, 182)-Net over F4 — Digital
Digital (130, 260, 182)-net over F4, using
(130, 130+130, 2083)-Net in Base 4 — Upper bound on s
There is no (130, 260, 2084)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 435114 274802 222191 677207 141657 754392 244007 926187 323938 087961 242998 069874 946517 866549 154833 151833 033364 686618 186455 583777 438349 428301 832650 503516 339832 596000 > 4260 [i]