Best Known (225−104, 225, s)-Nets in Base 4
(225−104, 225, 130)-Net over F4 — Constructive and digital
Digital (121, 225, 130)-net over F4, using
- t-expansion [i] based on digital (105, 225, 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
(225−104, 225, 204)-Net over F4 — Digital
Digital (121, 225, 204)-net over F4, using
(225−104, 225, 2672)-Net in Base 4 — Upper bound on s
There is no (121, 225, 2673)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2913 985622 542184 718828 068199 996499 325757 964312 194388 003276 240282 745259 930598 429105 632067 126680 616397 483335 937616 258950 028338 255609 203600 > 4225 [i]