Best Known (181−76, 181, s)-Nets in Base 4
(181−76, 181, 130)-Net over F4 — Constructive and digital
Digital (105, 181, 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
(181−76, 181, 229)-Net over F4 — Digital
Digital (105, 181, 229)-net over F4, using
(181−76, 181, 3662)-Net in Base 4 — Upper bound on s
There is no (105, 181, 3663)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9 489975 933719 982448 611715 326308 614554 993485 852114 694872 651294 928934 884955 402400 863137 361969 940711 692656 595210 > 4181 [i]