Best Known (184−74, 184, s)-Nets in Base 4
(184−74, 184, 130)-Net over F4 — Constructive and digital
Digital (110, 184, 130)-net over F4, using
- t-expansion [i] based on digital (105, 184, 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
(184−74, 184, 267)-Net over F4 — Digital
Digital (110, 184, 267)-net over F4, using
(184−74, 184, 4787)-Net in Base 4 — Upper bound on s
There is no (110, 184, 4788)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 604 907780 928606 975530 265343 031759 471513 722247 792207 449847 731671 991476 168215 049632 594646 728779 848308 175181 850908 > 4184 [i]